MatemáticasBásico1 respuestas

Polinomios :P(3x - 1) = 6x - 10p(f(x) + 4) = 5x + 7hallar F( - 1 / 5)?

Polinomios : P(3x - 1) = 6x - 10 p(f(x) + 4) = 5x + 7 hallar F( - 1 / 5).

En resumen

P(3x - 1) = 6x - 10 P(3x - 1) = 2(3x - 1) - 8 * * verifica : 6x - 2 - 8 = 6x - 10 → P(x) = 2x - 8 P(f(x) + 4) = 5x + 7 2(f(x) + 4) - 8 = 5x + 7 2(f(x)) + 8 - 8 = 5x + 7 2(f(x)) = 5x + 7 f(x) = (5x + 7) / 2 → f( - 1 / 5) = [( - 1 / 5) + 7] / 2 = (34 / 5) / 2 = 34 / 10 = 17 / 5.

Mejor respuesta

LaraAntonellaB
1

P(3x - 1) = 6x - 10

P(3x - 1) = 2(3x - 1) - 8 * * verifica : 6x - 2 - 8 = 6x - 10

→ P(x) = 2x - 8

P(f(x) + 4) = 5x + 7

2(f(x) + 4) - 8 = 5x + 7

2(f(x)) + 8 - 8 = 5x + 7

2(f(x)) = 5x + 7

f(x) = (5x + 7) / 2

→ f( - 1 / 5) = [( - 1 / 5) + 7] / 2 = (34 / 5) / 2 = 34 / 10 = 17 / 5.