Question

Function Decomposition

Answer 1

Answer:

$g(x)=(x+5)$

Step-by-step explanation:

we have

$h(x)=f(g(x))$

$f(x)=x^{8}$

$h(x)=(x+5)^{8}$

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

$g(x)=(x+5)$