Function decomposition
given the composition h(x) = f(g(x))
if h(x) = (x + 5)8 and f(x) = x8, find the function g(x). i'm so confused!

Step-by-step explanation:

we have

we know that

The variable of the function f(g(x)) is equal to the function g(x)

so

f(x) -----> f(g(x))

x^{8} -----> (x+5)^{8}

The variable x becomes (x+5)

therefore

The function g(x) is equal to

y > 1/3x

y < = -x + 4

hope this : )