Question

Dadas las funciones compuestas: f(x)=x³-2x²-5x+30 y g(x)=2x-7 halla (f ∘ g)(2)

Answer 1

Respuesta:

(f ∘ g)(2) = 0

 

Explicación paso a paso:

f(x) = x³ - 2x² - 5x + 30

g(x) = 2x - 7

(f ∘ g)(2) = f(g(2))

Primero hallaremos g(2)

g(x) = 2x - 7

g(2) = 2×2 - 7     x = 2

g(2) = 4 - 7

g(2) = -3

Procedemos a hallar (f ∘ g)(2) = f(g(2)) = f(-3)

f(x) = x³ - 2x² - 5x + 30

f(-3) = -3³ - 2×(-3)² - 5×-3 + 30     x = -3

f(-3) = -27 - 18 + 15 + 30

f(-3) = 0

(f ∘ g)(2) = 0