Question

If h(x)=(fog)(x) and h(x)=5(x+1)^3, find f(x) and g(x)

a. f(x)=5x^3, g(x)=(x+1)^3
b. f(x)=(x+1)^3, g(x)=5x^3
c. f(x)=x+1, g(x)=5x^3
d. f(x)=5x^3, g(x)=x+1

Please help and explain!

Answer 1

h(x) = (fog)(x) = f(g(x))
Say g(x) = x+1 then h(x) = f(g(x)) = 5(g(x))^3
So f(x) = 5x^3.

Answer 2

@KJ4UTS