48:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Composición de funciones:@0.404235:0.119706:0.715729:0.119706:0.715729:0.075047:0.404235:0.075047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.24. Resolver y plantear aplicaciones de la composición de funciones reales en problemas reales o hipotéticos.:@0.148948:0.939630:0.641484:0.939630:0.641484:0.929588:0.148948:0.929588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea       con   ≠ Ø,   una función real definida en  , g una función :@0.404806:0.155951:0.897505:0.155951:0.897505:0.139454:0.404806:0.139454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.432779:0.156067:0.444049:0.156067:0.444049:0.139598:0.432779:0.139598:0.000000
A:@0.514149:0.156067:0.525420:0.156067:0.525420:0.139598:0.514149:0.139598:0.000000
 f:@0.563642:0.156067:0.571791:0.156067:0.571791:0.139598:0.563642:0.139598:0.000000:0.000000
A:@0.777446:0.156067:0.788716:0.156067:0.788716:0.139598:0.777446:0.139598:0.000000
real definida en todo  . La composición de la función :@0.404800:0.173302:0.796838:0.173302:0.796838:0.156804:0.404800:0.156804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   f :@0.797377:0.173418:0.827302:0.173418:0.827302:0.156949:0.797377:0.156949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.808557:0.175818:0.815146:0.175818:0.815146:0.159320:0.808557:0.159320:0.000000
está defi-:@0.827841:0.173302:0.893440:0.173302:0.893440:0.156804:0.827841:0.156804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nida como::@0.404796:0.190653:0.484552:0.190653:0.484552:0.174155:0.404796:0.174155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404796:0.195424:0.408938:0.195424:0.408938:0.178927:0.404796:0.178927:0.000000
(:@0.556394:0.212775:0.562347:0.212775:0.562347:0.196277:0.556394:0.196277:0.000000
g   f x:@0.562347:0.212891:0.610549:0.212891:0.610549:0.196422:0.562347:0.196422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.572962:0.215291:0.579551:0.215291:0.579551:0.198793:0.572962:0.198793:0.000000
) ( ) =   ( ( )),        .:@0.587026:0.212775:0.741853:0.212781:0.741853:0.196284:0.587026:0.196277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f  x:@0.635593:0.212891:0.674991:0.212891:0.674991:0.196422:0.635593:0.196422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x A:@0.702078:0.212891:0.739098:0.212897:0.739098:0.196428:0.702078:0.196422:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.404807:0.235279:0.535462:0.235279:0.535462:0.218493:0.404807:0.218493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404807:0.252471:0.417079:0.252471:0.417079:0.235757:0.404807:0.235757:0.000000:0.000000
  Sean   = [0,1],    la función definida como  ( ) = :@0.417079:0.252254:0.779785:0.252254:0.779785:0.235757:0.417079:0.235757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.466919:0.252370:0.478189:0.252370:0.478189:0.235901:0.466919:0.235901:0.000000
f:@0.537372:0.252370:0.541668:0.252370:0.541668:0.235901:0.537372:0.235901:0.000000
f x:@0.736438:0.252370:0.754162:0.252370:0.754162:0.235901:0.736438:0.235901:0.000000:0.000000:0.000000
sen πx x:@0.780362:0.252370:0.847253:0.252370:0.847253:0.235901:0.780362:0.235901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ),    [0,1] :@0.803386:0.252254:0.897589:0.252260:0.897589:0.235763:0.803386:0.235757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.893447:0.252260:0.897589:0.252260:0.897589:0.235763:0.893447:0.235763:0.000000
y   la función definida como :@0.428557:0.269611:0.634636:0.269611:0.634636:0.253114:0.428557:0.253114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.440425:0.269727:0.447861:0.269727:0.447861:0.253258:0.440425:0.253258:0.000000
g(x)  x:@0.634540:0.269727:0.682647:0.269727:0.682647:0.253258:0.634540:0.253258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= ,           y   :@0.664364:0.269611:0.773890:0.269611:0.773890:0.253114:0.664364:0.253114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.682604:0.263327:0.687411:0.263327:0.687411:0.253726:0.682604:0.253726:0.000000
x:@0.702304:0.269727:0.709779:0.269727:0.709779:0.253258:0.702304:0.253258:0.000000
k :@0.773794:0.269727:0.786182:0.269727:0.786182:0.253258:0.773794:0.253258:0.000000:0.000000
  . Entonces, :@0.796085:0.269611:0.897586:0.269611:0.897586:0.253114:0.796085:0.253114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.812338:0.263259:0.818639:0.263259:0.818639:0.253641:0.812338:0.253641:0.000000
g   f:@0.428556:0.287078:0.453234:0.287078:0.453234:0.270609:0.428556:0.270609:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.439171:0.289478:0.445760:0.289478:0.445760:0.272980:0.439171:0.272980:0.000000
 es la función real definida como::@0.453234:0.286962:0.686689:0.286962:0.686689:0.270464:0.453234:0.270464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404821:0.296765:0.408963:0.296765:0.408963:0.280267:0.404821:0.280267:0.000000
(:@0.465121:0.314116:0.471074:0.314116:0.471074:0.297618:0.465121:0.297618:0.000000
g   f x:@0.471074:0.314232:0.515134:0.314232:0.515134:0.297763:0.471074:0.297763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.481689:0.316632:0.488278:0.316632:0.488278:0.300134:0.481689:0.300134:0.000000
)( ) =  ( ( )) =  (:@0.495753:0.314116:0.615679:0.314116:0.615679:0.297618:0.495753:0.297618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f x:@0.540179:0.314232:0.571292:0.314232:0.571292:0.297763:0.540179:0.297763:0.000000:0.000000:0.000000:0.000000:0.000000
g sen πx sen:@0.602290:0.314232:0.700697:0.314232:0.700697:0.297763:0.602290:0.297763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )) :@0.638682:0.314116:0.677694:0.314116:0.677694:0.297618:0.638682:0.297618:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.700568:0.307835:0.705375:0.307835:0.705375:0.298234:0.700568:0.298234:0.000000
 (πx),      [0,1].:@0.705376:0.314120:0.810824:0.314120:0.810824:0.297622:0.705376:0.297622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.750861:0.314235:0.758336:0.314235:0.758336:0.297767:0.750861:0.297767:0.000000
Así,:@0.404809:0.331470:0.429777:0.331470:0.429777:0.314973:0.404809:0.314973:0.000000:0.000000:0.000000:0.000000
k :@0.524350:0.348937:0.536738:0.348937:0.536738:0.332468:0.524350:0.332468:0.000000:0.000000
= 2, (:@0.536738:0.348821:0.573033:0.348821:0.573033:0.332324:0.536738:0.332324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   f x:@0.573033:0.348937:0.617093:0.348937:0.617093:0.332468:0.573033:0.332468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.583648:0.351337:0.590237:0.351337:0.590237:0.334839:0.583648:0.334839:0.000000
)( ) = :@0.597712:0.348821:0.642138:0.348821:0.642138:0.332324:0.597712:0.332324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen πx x:@0.642138:0.348937:0.721415:0.348937:0.721415:0.332468:0.642138:0.332468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.665136:0.342537:0.669842:0.342537:0.669842:0.332936:0.665136:0.332936:0.000000
 ( ),      [0,1],:@0.669842:0.348821:0.773904:0.348821:0.773904:0.332324:0.669842:0.332324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k :@0.524342:0.366288:0.536729:0.366288:0.536729:0.349819:0.524342:0.349819:0.000000:0.000000
= 5, (:@0.536729:0.366172:0.573025:0.366172:0.573025:0.349674:0.536729:0.349674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   f x:@0.573025:0.366288:0.617085:0.366288:0.617085:0.349819:0.573025:0.349819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.583640:0.368688:0.590229:0.368688:0.590229:0.352190:0.583640:0.352190:0.000000
)( ) = :@0.597704:0.366172:0.642129:0.366172:0.642129:0.349674:0.597704:0.349674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen πx x:@0.642129:0.366288:0.721415:0.366288:0.721415:0.349819:0.642129:0.349819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.665136:0.359888:0.669842:0.359888:0.669842:0.350286:0.665136:0.350286:0.000000
 ( ),      [0,1].:@0.669842:0.366172:0.773904:0.366172:0.773904:0.349674:0.669842:0.349674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por otro lado,  :@0.404801:0.395842:0.509276:0.395842:0.509276:0.379344:0.404801:0.379344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   g:@0.509276:0.395957:0.533955:0.395957:0.533955:0.379489:0.509276:0.379489:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.516751:0.398358:0.523340:0.398358:0.523340:0.381860:0.516751:0.381860:0.000000
 es la función real definida como::@0.533955:0.395842:0.767409:0.395842:0.767409:0.379344:0.533955:0.379344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.492920:0.420480:0.498873:0.420480:0.498873:0.403982:0.492920:0.403982:0.000000
f   g x:@0.498873:0.420595:0.542933:0.420595:0.542933:0.404127:0.498873:0.404127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.506348:0.422996:0.512937:0.422996:0.512937:0.406498:0.506348:0.406498:0.000000
)( ) =  ( ( )) =  ( ) = :@0.523552:0.420480:0.677632:0.420487:0.677632:0.403990:0.523552:0.403982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.567977:0.420595:0.599091:0.420595:0.599091:0.404127:0.567977:0.404127:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.630089:0.420595:0.647813:0.420595:0.647813:0.404127:0.630089:0.404127:0.000000:0.000000:0.000000
k:@0.647779:0.414203:0.652586:0.414203:0.652586:0.404602:0.647779:0.404602:0.000000
sen πx:@0.677632:0.420603:0.723599:0.420603:0.723599:0.404134:0.677632:0.404134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.700635:0.420487:0.706588:0.420487:0.706588:0.403990:0.700635:0.403990:0.000000
k:@0.723559:0.414203:0.728366:0.414203:0.728366:0.404602:0.723559:0.404602:0.000000
),      [0,1].:@0.728367:0.420487:0.805321:0.420487:0.805321:0.403990:0.728367:0.403990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.745359:0.420603:0.752833:0.420603:0.752833:0.404134:0.745359:0.404134:0.000000
Claramente :@0.404797:0.445125:0.491471:0.445125:0.491471:0.428628:0.404797:0.428628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   f ≠ f   g:@0.491471:0.445241:0.559997:0.445241:0.559997:0.428772:0.491471:0.428772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.502086:0.447641:0.508675:0.447641:0.508675:0.431144:0.502086:0.431144:0.000000
 :@0.516150:0.445125:0.520292:0.445125:0.520292:0.428628:0.516150:0.428628:0.000000
º:@0.542794:0.447641:0.549382:0.447641:0.549382:0.431144:0.542794:0.431144:0.000000
.:@0.559997:0.445125:0.562752:0.445125:0.562752:0.428628:0.559997:0.428628:0.000000
2. :@0.404797:0.489847:0.421153:0.489847:0.421153:0.473132:0.404797:0.473132:0.000000:0.000000:0.000000
Sean  ,   las funciones reales definidas en [0, ∞[ como  ( ) =  ,:@0.428531:0.489630:0.893446:0.489639:0.893446:0.473141:0.428531:0.473132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.468372:0.489746:0.489044:0.489746:0.489044:0.473277:0.468372:0.473277:0.000000:0.000000:0.000000
f x:@0.831674:0.489746:0.849398:0.489746:0.849398:0.473277:0.831674:0.473277:0.000000:0.000000:0.000000
x  :@0.878527:0.489746:0.897588:0.489755:0.897588:0.473286:0.878527:0.473277:0.000000:0.000000:0.000000
2:@0.885985:0.483355:0.890691:0.483355:0.890691:0.473753:0.885985:0.473753:0.000000
 :@0.893446:0.489755:0.897588:0.489755:0.897588:0.473286:0.893446:0.473286:0.000000
g x:@0.428556:0.509303:0.449420:0.509303:0.449420:0.492834:0.428556:0.492834:0.000000:0.000000:0.000000
( ) =  ,      [0,∞[. Entonces, :@0.435992:0.509187:0.643019:0.509192:0.643019:0.492695:0.435992:0.492690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.474619:0.509303:0.482094:0.509303:0.482094:0.492834:0.474619:0.492834:0.000000
1:@0.483157:0.498023:0.488070:0.498023:0.488070:0.487999:0.483157:0.487999:0.000000
3:@0.483157:0.506199:0.488070:0.506199:0.488070:0.496175:0.483157:0.496175:0.000000
x:@0.501711:0.509308:0.509186:0.509308:0.509186:0.492839:0.501711:0.492839:0.000000
g   f   f   g :@0.643096:0.509308:0.721602:0.509308:0.721602:0.492839:0.643096:0.492839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.653788:0.511708:0.660377:0.511708:0.660377:0.495211:0.653788:0.495211:0.000000
y  :@0.676367:0.509192:0.692550:0.509192:0.692550:0.492695:0.676367:0.492695:0.000000:0.000000:0.000000
º:@0.700179:0.511708:0.706768:0.511708:0.706768:0.495211:0.700179:0.495211:0.000000
son las funciones defini-:@0.721679:0.509192:0.893427:0.509192:0.893427:0.492695:0.721679:0.492695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
das como sigue::@0.428539:0.526543:0.541200:0.526543:0.541200:0.510046:0.428539:0.510046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.479418:0.546092:0.485371:0.546092:0.485371:0.529594:0.479418:0.529594:0.000000
g   f x:@0.485371:0.546207:0.529431:0.546207:0.529431:0.529739:0.485371:0.529739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.495987:0.548608:0.502575:0.548608:0.502575:0.532110:0.495987:0.532110:0.000000
)( ) =  ( ( )) =  ( ) = ( )  =   ,       [0,∞[,:@0.510050:0.546092:0.818822:0.546097:0.818822:0.529599:0.510050:0.529594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f x:@0.554476:0.546207:0.585589:0.546207:0.585589:0.529739:0.554476:0.529739:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.616587:0.546207:0.637451:0.546207:0.637451:0.529739:0.616587:0.529739:0.000000:0.000000:0.000000
2:@0.637458:0.539811:0.642164:0.539811:0.642164:0.530210:0.637458:0.530210:0.000000
x:@0.673162:0.546212:0.680636:0.546212:0.680636:0.529744:0.673162:0.529744:0.000000
2:@0.680636:0.539811:0.685342:0.539811:0.685342:0.530210:0.680636:0.530210:0.000000
1:@0.692364:0.534928:0.697277:0.534928:0.697277:0.524903:0.692364:0.524903:0.000000
3:@0.692364:0.543104:0.697277:0.543104:0.697277:0.533079:0.692364:0.533079:0.000000
x:@0.718815:0.546212:0.726290:0.546212:0.726290:0.529744:0.718815:0.529744:0.000000
2:@0.727358:0.534928:0.732272:0.534928:0.732272:0.524903:0.727358:0.524903:0.000000
3:@0.727358:0.543104:0.732272:0.543104:0.732272:0.533079:0.727358:0.533079:0.000000
x:@0.754042:0.546212:0.761517:0.546212:0.761517:0.529744:0.754042:0.529744:0.000000
(:@0.477210:0.574075:0.483163:0.574075:0.483163:0.557577:0.477210:0.557577:0.000000
f   g x:@0.483163:0.574191:0.527223:0.574191:0.527223:0.557722:0.483163:0.557722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.490638:0.576591:0.497227:0.576591:0.497227:0.560093:0.490638:0.560093:0.000000
)( ) =  ( ( )) =   :@0.507842:0.574075:0.622817:0.574075:0.622817:0.557577:0.507842:0.557577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.552268:0.574191:0.583381:0.574191:0.583381:0.557722:0.552268:0.557722:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.614379:0.574191:0.634964:0.574186:0.634964:0.557717:0.614379:0.557722:0.000000:0.000000:0.000000
1:@0.636032:0.562901:0.640946:0.562901:0.640946:0.552877:0.636032:0.552877:0.000000
3:@0.636032:0.571077:0.640946:0.571077:0.640946:0.561053:0.636032:0.561053:0.000000
 = :@0.648077:0.574070:0.667169:0.574070:0.667169:0.557573:0.648077:0.557573:0.000000:0.000000:0.000000
x:@0.671854:0.574186:0.679329:0.574186:0.679329:0.557717:0.671854:0.557717:0.000000
1:@0.680396:0.562901:0.685310:0.562901:0.685310:0.552877:0.680396:0.552877:0.000000
3:@0.680396:0.571077:0.685310:0.571077:0.685310:0.561053:0.680396:0.561053:0.000000
2:@0.692441:0.553981:0.697147:0.553981:0.697147:0.544380:0.692441:0.544380:0.000000
=   ,       [0,∞[.:@0.706094:0.574070:0.821050:0.574070:0.821050:0.557573:0.706094:0.557573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.721044:0.574186:0.728519:0.574186:0.728519:0.557717:0.721044:0.557717:0.000000
2:@0.729586:0.562901:0.734500:0.562901:0.734500:0.552877:0.729586:0.552877:0.000000
3:@0.729586:0.571077:0.734500:0.571077:0.734500:0.561053:0.729586:0.561053:0.000000
x:@0.756270:0.574186:0.763745:0.574186:0.763745:0.557717:0.756270:0.557717:0.000000
 :@0.404805:0.606256:0.408947:0.606256:0.408947:0.589758:0.404805:0.589758:0.000000
En este caso, se verifica que :@0.428540:0.606256:0.626236:0.606256:0.626236:0.589758:0.428540:0.589758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g   f f   g:@0.626236:0.606372:0.694689:0.606372:0.694689:0.589903:0.626236:0.589903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.636855:0.608772:0.643444:0.608772:0.643444:0.592274:0.636855:0.592274:0.000000
 = :@0.650919:0.606256:0.670010:0.606256:0.670010:0.589758:0.650919:0.589758:0.000000:0.000000:0.000000
º:@0.677485:0.608772:0.684074:0.608772:0.684074:0.592274:0.677485:0.592274:0.000000
.:@0.694689:0.606256:0.697444:0.606256:0.697444:0.589758:0.694689:0.589758:0.000000
3.:@0.404805:0.648462:0.417077:0.648462:0.417077:0.631747:0.404805:0.631747:0.000000:0.000000
  Consideremos las funciones reales definidas en el intervalo ] 0, ∞[ como:@0.417077:0.648245:0.893464:0.648245:0.893464:0.631747:0.417077:0.631747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404805:0.673100:0.408947:0.673100:0.408947:0.656602:0.404805:0.656602:0.000000
f x:@0.428540:0.673216:0.446264:0.673216:0.446264:0.656747:0.428540:0.656747:0.000000:0.000000:0.000000
( ) =  ,  ( ) =      y  ( ) =   +1,      [0,∞[. Determinemos :@0.432836:0.673100:0.862255:0.673102:0.862255:0.656604:0.432836:0.656602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.474641:0.669543:0.483137:0.669543:0.483137:0.653045:0.474641:0.653045:0.000000
x:@0.474641:0.683380:0.482637:0.683380:0.482637:0.666883:0.474641:0.666883:0.000000
g x:@0.496864:0.673217:0.517729:0.673217:0.517729:0.656749:0.496864:0.656749:0.000000:0.000000:0.000000
x h x:@0.558186:0.673217:0.605790:0.673217:0.605790:0.656749:0.558186:0.656749:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.632029:0.673217:0.639504:0.673217:0.639504:0.656749:0.632029:0.656749:0.000000
3:@0.639510:0.666818:0.644216:0.666818:0.644216:0.657216:0.639510:0.657216:0.000000
x:@0.680492:0.673217:0.687967:0.673217:0.687967:0.656749:0.680492:0.656749:0.000000
f   h:@0.862852:0.673217:0.890691:0.673217:0.890691:0.656749:0.862852:0.656749:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.870924:0.675618:0.877513:0.675618:0.877513:0.659120:0.870924:0.659120:0.000000
, :@0.890691:0.673102:0.897588:0.673102:0.897588:0.656604:0.890691:0.656604:0.000000:0.000000
 :@0.893446:0.673102:0.897588:0.673102:0.897588:0.656604:0.893446:0.656604:0.000000
h   f f   g   h:@0.428556:0.695846:0.518332:0.695846:0.518332:0.679377:0.428556:0.679377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.441136:0.698246:0.447725:0.698246:0.447725:0.681748:0.441136:0.681748:0.000000
 y :@0.455199:0.695730:0.471305:0.695730:0.471305:0.679232:0.455199:0.679232:0.000000:0.000000:0.000000
º º:@0.478780:0.698246:0.505752:0.698246:0.505752:0.681748:0.478780:0.681748:0.000000:0.000000:0.000000
. Tenemos::@0.518332:0.695730:0.592944:0.695730:0.592944:0.679232:0.518332:0.679232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.481015:0.732875:0.486968:0.732875:0.486968:0.716377:0.481015:0.716377:0.000000
f   h x:@0.486968:0.732991:0.532993:0.732991:0.532993:0.716522:0.486968:0.716522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.494443:0.735391:0.501032:0.735391:0.501032:0.718893:0.494443:0.718893:0.000000
)( ) =  ( ( )) =  (  +1) = :@0.513612:0.732875:0.693013:0.732884:0.693013:0.716386:0.513612:0.716377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f h x:@0.558037:0.732991:0.591116:0.732991:0.591116:0.716522:0.558037:0.716522:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.622114:0.732991:0.639838:0.732991:0.639838:0.716522:0.622114:0.716522:0.000000:0.000000:0.000000
3:@0.639817:0.726600:0.644523:0.726600:0.644523:0.716998:0.639817:0.716998:0.000000
   1:@0.693013:0.727259:0.713935:0.727259:0.713935:0.710762:0.693013:0.710762:0.000000:0.000000:0.000000:0.000000
x  +1:@0.693013:0.741097:0.729406:0.741084:0.729406:0.724586:0.693013:0.724599:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.701008:0.734732:0.705961:0.734732:0.705961:0.725114:0.701008:0.725114:0.000000
 ,      ]0,∞[,:@0.737292:0.732884:0.817254:0.732884:0.817254:0.716386:0.737292:0.716386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.752473:0.733000:0.759948:0.733000:0.759948:0.716531:0.752473:0.716531:0.000000
(:@0.446167:0.772039:0.452120:0.772039:0.452120:0.755541:0.446167:0.755541:0.000000
h   f x:@0.452120:0.772154:0.502286:0.772154:0.502286:0.755686:0.452120:0.755686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.464700:0.774555:0.471288:0.774555:0.471288:0.758057:0.464700:0.758057:0.000000
) ( ) =  (   ( )) =   :@0.478763:0.772039:0.613235:0.772039:0.613235:0.755541:0.478763:0.755541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h f x:@0.527331:0.772154:0.568694:0.772154:0.568694:0.755686:0.527331:0.755686:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.599691:0.772154:0.609093:0.772154:0.609093:0.755686:0.599691:0.755686:0.000000
1:@0.618694:0.763650:0.627190:0.763650:0.627190:0.747152:0.618694:0.747152:0.000000
x:@0.618694:0.777487:0.626689:0.777487:0.626689:0.760990:0.618694:0.760990:0.000000
 = :@0.635694:0.772041:0.654786:0.772041:0.654786:0.755544:0.635694:0.755544:0.000000:0.000000:0.000000
1:@0.660238:0.763650:0.668734:0.763650:0.668734:0.747152:0.660238:0.747152:0.000000
x:@0.660238:0.777487:0.668233:0.777487:0.668233:0.760990:0.660238:0.760990:0.000000
3:@0.677238:0.753023:0.682191:0.753023:0.682191:0.743405:0.677238:0.743405:0.000000
+1 = :@0.685429:0.772041:0.723824:0.772041:0.723824:0.755544:0.685429:0.755544:0.000000:0.000000:0.000000:0.000000:0.000000
 1:@0.723824:0.765665:0.736462:0.765665:0.736462:0.749167:0.723824:0.749167:0.000000:0.000000
x:@0.723824:0.779502:0.731819:0.779502:0.731819:0.763004:0.723824:0.763004:0.000000
3:@0.731818:0.773144:0.736771:0.773144:0.736771:0.763526:0.731818:0.763526:0.000000
 +1,       ]0,∞[.:@0.748670:0.772041:0.852077:0.772041:0.852077:0.755544:0.748670:0.755544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.787297:0.772157:0.794772:0.772157:0.794772:0.755688:0.787297:0.755688:0.000000
Claramente, :@0.404815:0.799195:0.494398:0.799195:0.494398:0.782698:0.404815:0.782698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   h h   f:@0.494398:0.799311:0.566778:0.799311:0.566778:0.782842:0.494398:0.782842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º:@0.501873:0.801711:0.508462:0.801711:0.508462:0.785213:0.501873:0.785213:0.000000
 ≠ :@0.521042:0.799195:0.540134:0.799195:0.540134:0.782698:0.521042:0.782698:0.000000:0.000000:0.000000
º:@0.552714:0.801711:0.559303:0.801711:0.559303:0.785213:0.552714:0.785213:0.000000
.:@0.566778:0.799195:0.569533:0.799195:0.569533:0.782698:0.566778:0.782698:0.000000
Determinemos :@0.404815:0.816546:0.515858:0.816546:0.515858:0.800048:0.404815:0.800048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f   g   h:@0.515858:0.816662:0.562886:0.816662:0.562886:0.800193:0.515858:0.800193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
º º:@0.523335:0.819062:0.550306:0.819062:0.550306:0.802564:0.523335:0.802564:0.000000:0.000000:0.000000
.:@0.562886:0.816546:0.565641:0.816546:0.565641:0.800048:0.562886:0.800048:0.000000
f g h x:@0.449181:0.845673:0.519330:0.845673:0.519330:0.828669:0.449181:0.828669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.437776:0.847012:0.445514:0.847012:0.445514:0.825640:0.437776:0.825640:0.000000
)( ) (:@0.496377:0.847012:0.549620:0.847012:0.549620:0.825640:0.496377:0.825640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.529559:0.845554:0.540718:0.845554:0.540718:0.828519:0.529559:0.828519:0.000000
f g h x:@0.553290:0.845673:0.621059:0.845673:0.621059:0.828669:0.553290:0.828669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) ( ) (:@0.580691:0.847012:0.657836:0.847012:0.657836:0.825640:0.580691:0.825640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.587018:0.848065:0.594756:0.848065:0.594756:0.823999:0.587018:0.823999:0.000000
):@0.628373:0.848065:0.636111:0.848065:0.636111:0.823999:0.628373:0.823999:0.000000
=:@0.637775:0.845554:0.648934:0.845554:0.648934:0.828519:0.637775:0.828519:0.000000
f g x:@0.661506:0.845673:0.711871:0.845673:0.711871:0.828669:0.661506:0.828669:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.688907:0.847012:0.696645:0.847012:0.696645:0.825640:0.688907:0.825640:0.000000
3:@0.713125:0.837256:0.718203:0.837256:0.718203:0.827397:0.713125:0.827397:0.000000
+:@0.721557:0.845524:0.737033:0.845524:0.737033:0.827564:0.721557:0.827564:0.000000
1 =:@0.737987:0.845554:0.765474:0.845554:0.765474:0.828519:0.737987:0.828519:0.000000:0.000000:0.000000
(:@0.695234:0.848889:0.702972:0.848889:0.702972:0.823027:0.695234:0.823027:0.000000
):@0.744904:0.848889:0.752641:0.848889:0.752641:0.823027:0.744904:0.823027:0.000000
f g x:@0.771561:0.845673:0.813075:0.845673:0.813075:0.828669:0.771561:0.828669:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.814313:0.837256:0.819391:0.837256:0.819391:0.827397:0.814313:0.827397:0.000000
+:@0.822746:0.845524:0.838222:0.845524:0.838222:0.827564:0.822746:0.827564:0.000000
1:@0.839177:0.845554:0.847949:0.845554:0.847949:0.828519:0.839177:0.828519:0.000000
(:@0.796422:0.848889:0.804159:0.848889:0.804159:0.823027:0.796422:0.823027:0.000000
):@0.846091:0.848889:0.853829:0.848889:0.853829:0.823027:0.846091:0.823027:0.000000
(:@0.778692:0.849944:0.786430:0.849944:0.786430:0.821388:0.778692:0.821388:0.000000
):@0.852590:0.849944:0.860328:0.849944:0.860328:0.821388:0.852590:0.821388:0.000000
=:@0.518424:0.882228:0.529583:0.882228:0.529583:0.865194:0.518424:0.865194:0.000000
f:@0.535670:0.882347:0.540106:0.882347:0.540106:0.865343:0.535670:0.865343:0.000000
x:@0.565190:0.882347:0.572908:0.882347:0.572908:0.865343:0.565190:0.865343:0.000000
3:@0.574152:0.873930:0.579230:0.873930:0.579230:0.864071:0.574152:0.864071:0.000000
+:@0.582586:0.882198:0.598061:0.882198:0.598061:0.864238:0.582586:0.864238:0.000000
1 =:@0.599016:0.882228:0.628069:0.882228:0.628069:0.865194:0.599016:0.865194:0.000000:0.000000:0.000000
(:@0.542802:0.888729:0.550540:0.888729:0.550540:0.855144:0.542802:0.855144:0.000000
):@0.607510:0.888729:0.615248:0.888729:0.615248:0.855144:0.607510:0.855144:0.000000
1:@0.656693:0.872942:0.665465:0.872942:0.665465:0.855908:0.656693:0.855908:0.000000
x:@0.646687:0.896709:0.654405:0.896709:0.654405:0.879705:0.646687:0.879705:0.000000
3:@0.655666:0.888291:0.660744:0.888291:0.660744:0.878432:0.655666:0.878432:0.000000
+:@0.664098:0.896559:0.679574:0.896559:0.679574:0.878599:0.664098:0.878599:0.000000
1:@0.680528:0.896589:0.689301:0.896589:0.689301:0.879554:0.680528:0.879554:0.000000
,  x:@0.695234:0.882347:0.714449:0.882347:0.714449:0.865343:0.695234:0.865343:0.000000:0.000000:0.000000:0.000000
0,:@0.739125:0.882228:0.750662:0.882228:0.750662:0.865194:0.739125:0.865194:0.000000:0.000000
]:@0.734260:0.883686:0.739790:0.883686:0.739790:0.862314:0.734260:0.862314:0.000000
[:@0.769349:0.883686:0.774879:0.883686:0.774879:0.862314:0.769349:0.862314:0.000000
.:@0.776908:0.882228:0.779753:0.882228:0.779753:0.865194:0.776908:0.865194:0.000000
o:@0.458439:0.842086:0.463576:0.842086:0.463576:0.833198:0.458439:0.833198:0.000000
o:@0.478614:0.842086:0.483751:0.842086:0.483751:0.833198:0.478614:0.833198:0.000000
o:@0.562502:0.842086:0.567639:0.842086:0.567639:0.833198:0.562502:0.833198:0.000000
o:@0.670031:0.842086:0.675168:0.842086:0.675168:0.833198:0.670031:0.833198:0.000000
Saberes previos:@0.199646:0.100622:0.307805:0.100622:0.307805:0.085150:0.199646:0.085150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la relación entre :@0.199884:0.129250:0.361571:0.129250:0.361571:0.114187:0.199884:0.114187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la composición de funciones  :@0.153341:0.145092:0.347214:0.145092:0.347214:0.130029:0.153341:0.130029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la función inversa?:@0.153341:0.160934:0.282854:0.160934:0.282854:0.145871:0.153341:0.145871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199770:0.219378:0.363617:0.219378:0.363617:0.203906:0.199770:0.203906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿La composición de fun-:@0.200008:0.248006:0.359389:0.248006:0.359389:0.232943:0.200008:0.232943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones cumple con la propiedad :@0.153465:0.263848:0.365403:0.263848:0.365403:0.248785:0.153465:0.248785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asociativa?:@0.153465:0.279690:0.221855:0.279690:0.221855:0.264627:0.153465:0.264627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.199646:0.342458:0.309406:0.342458:0.309406:0.326986:0.199646:0.326986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  , ,   tres:@0.199884:0.371085:0.302152:0.371085:0.302152:0.356022:0.199884:0.356022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C:@0.234395:0.371191:0.274835:0.371191:0.274835:0.356154:0.234395:0.356154:0.000000:0.000000:0.000000:0.000000:0.000000
conjuntos no vacíos cualesquie-:@0.153341:0.386927:0.360372:0.386927:0.360372:0.371864:0.153341:0.371864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ra,   una función de   en  ,   :@0.153341:0.402769:0.341814:0.402769:0.341814:0.387706:0.153341:0.387706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.172514:0.402875:0.176436:0.402875:0.176436:0.387838:0.172514:0.387838:0.000000
A:@0.282678:0.402875:0.292968:0.402875:0.292968:0.387838:0.282678:0.387838:0.000000
B g:@0.316555:0.402875:0.338032:0.402875:0.338032:0.387838:0.316555:0.387838:0.000000:0.000000:0.000000
una función de   en   .:@0.153341:0.418611:0.303241:0.418611:0.303241:0.403548:0.153341:0.403548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.255801:0.418717:0.264191:0.418717:0.264191:0.403680:0.255801:0.403680:0.000000
C:@0.287779:0.418717:0.296944:0.418717:0.296944:0.403680:0.287779:0.403680:0.000000
La composición de la función   :@0.153341:0.450295:0.359439:0.450295:0.359439:0.435232:0.153341:0.435232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.348868:0.450401:0.355657:0.450401:0.355657:0.435364:0.348868:0.435364:0.000000
con la de  que se nota :@0.153341:0.467642:0.308676:0.467642:0.308676:0.452579:0.153341:0.452579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f (:@0.216242:0.467748:0.228907:0.467748:0.228907:0.452711:0.216242:0.452711:0.000000:0.000000:0.000000
g f):@0.308676:0.467748:0.338865:0.467752:0.338865:0.452715:0.308676:0.452711:0.000000:0.000000:0.000000:0.000000
   :@0.315470:0.468082:0.329380:0.468082:0.329380:0.451614:0.315470:0.451614:0.000000:0.000000:0.000000
º:@0.318649:0.470483:0.325238:0.470483:0.325238:0.453985:0.318649:0.453985:0.000000
 es :@0.338865:0.467646:0.359551:0.467646:0.359551:0.452583:0.338865:0.452583:0.000000:0.000000:0.000000:0.000000
la función de  en  definida:@0.153343:0.483488:0.342874:0.483488:0.342874:0.468425:0.153343:0.468425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.241837:0.483594:0.252127:0.483594:0.252127:0.468557:0.241837:0.468557:0.000000
   :@0.252127:0.483026:0.276948:0.483026:0.276948:0.466854:0.252127:0.466854:0.000000:0.000000:0.000000
C:@0.276948:0.483594:0.286113:0.483594:0.286113:0.468557:0.276948:0.468557:0.000000
como::@0.153343:0.499330:0.194011:0.499330:0.194011:0.484267:0.153343:0.484267:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.153343:0.516677:0.158778:0.516677:0.158778:0.501614:0.153343:0.501614:0.000000
g f x:@0.158778:0.516783:0.203916:0.516787:0.203916:0.501750:0.158778:0.501746:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.165570:0.517117:0.179479:0.517117:0.179479:0.500648:0.165570:0.500648:0.000000:0.000000:0.000000
º:@0.168749:0.519517:0.175337:0.519517:0.175337:0.503020:0.168749:0.503020:0.000000
) ( ) =   (  ( )),        :@0.182439:0.516681:0.328293:0.516681:0.328293:0.501618:0.182439:0.501618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f x:@0.226783:0.516787:0.262755:0.516787:0.262755:0.501750:0.226783:0.501750:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.298532:0.498126:0.285302:0.498126:0.285302:0.517459:0.298532:0.517459:0.000000
x A:@0.303914:0.516787:0.338584:0.516787:0.338584:0.501750:0.303914:0.501750:0.000000:0.000000:0.000000
g f :@0.153343:0.565818:0.184568:0.565821:0.184568:0.550785:0.153343:0.550781:0.000000:0.000000:0.000000:0.000000
   :@0.160135:0.566152:0.174045:0.566152:0.174045:0.549683:0.160135:0.549683:0.000000:0.000000:0.000000
º:@0.163314:0.568552:0.169903:0.568552:0.169903:0.552054:0.163314:0.552054:0.000000
  : :@0.173082:0.565716:0.190865:0.565716:0.190865:0.550653:0.173082:0.550653:0.000000:0.000000:0.000000:0.000000
(:@0.153346:0.598905:0.158781:0.598905:0.158781:0.583842:0.153346:0.583842:0.000000
g f x:@0.158781:0.599010:0.207698:0.599014:0.207698:0.583977:0.158781:0.583974:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.165570:0.599345:0.179479:0.599345:0.179479:0.582876:0.165570:0.582876:0.000000:0.000000:0.000000
º:@0.168749:0.601745:0.175337:0.601745:0.175337:0.585247:0.168749:0.585247:0.000000
  ) ( ) =   (  ( )).:@0.178516:0.598908:0.279923:0.598908:0.279923:0.583845:0.178516:0.583845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g f x:@0.230565:0.599014:0.266537:0.599014:0.266537:0.583977:0.230565:0.583977:0.000000:0.000000:0.000000:0.000000:0.000000
A :@0.212666:0.549494:0.227283:0.549494:0.227283:0.534431:0.212666:0.534431:0.000000:0.000000
→ :@0.227283:0.549032:0.249042:0.549032:0.249042:0.532860:0.227283:0.532860:0.000000:0.000000
C:@0.249042:0.549494:0.259227:0.549494:0.259227:0.534431:0.249042:0.534431:0.000000
x :@0.212666:0.566841:0.223748:0.566841:0.223748:0.551778:0.212666:0.551778:0.000000:0.000000
→ :@0.223748:0.566379:0.245506:0.566379:0.245506:0.550207:0.223748:0.550207:0.000000:0.000000
(:@0.245506:0.566841:0.250942:0.566841:0.250942:0.551778:0.245506:0.551778:0.000000
g f x:@0.250942:0.566947:0.299855:0.566950:0.299855:0.551914:0.250942:0.551910:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.257726:0.567281:0.271636:0.567281:0.271636:0.550812:0.257726:0.550812:0.000000:0.000000:0.000000
º:@0.260905:0.569681:0.267494:0.569681:0.267494:0.553184:0.260905:0.553184:0.000000
  ) ( ):@0.270673:0.566845:0.305290:0.566845:0.305290:0.551782:0.270673:0.551782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.199646:0.714360:0.297269:0.714360:0.297269:0.698888:0.199646:0.698888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199646:0.726928:0.283709:0.726928:0.283709:0.711456:0.199646:0.711456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En aritmética, las :@0.199884:0.751403:0.312265:0.751403:0.312265:0.736340:0.199884:0.736340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidades se expresan por :@0.153341:0.767245:0.332843:0.767245:0.332843:0.752182:0.153341:0.752182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medio de números que son :@0.153341:0.783087:0.336660:0.783087:0.336660:0.768024:0.153341:0.768024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores determinados. El álgebra :@0.153341:0.798929:0.363819:0.798929:0.363819:0.783866:0.153341:0.783866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
generaliza, las cantidades se ex-:@0.153341:0.814771:0.355045:0.814771:0.355045:0.799708:0.153341:0.799708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presan por medio de letras que :@0.153341:0.830613:0.359844:0.830613:0.359844:0.815550:0.153341:0.815550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representan diferentes valores.:@0.153341:0.846455:0.348590:0.846455:0.348590:0.831392:0.153341:0.831392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.153341:0.868277:0.220130:0.868277:0.220130:0.853016:0.153341:0.853016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿qué es una función :@0.220130:0.868079:0.359388:0.868079:0.359388:0.853016:0.220130:0.853016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuesta?:@0.153341:0.883921:0.231562:0.883921:0.231562:0.868858:0.153341:0.868858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000