Question

The function h(x) = (x + 6)^8 can be expressed in the form f(g(x)) where f(x) = x ^ 8 and, g(x) is defined below g(x) =

Answer 1

g(x) = x + 6

Step-by-step explanation:

We know that

`\begin{gathered} h(x)=(x+6)^8 \\ and \\ f(x)=x^8 \end{gathered}`

If h(x) = f(g(x)), we need to make g(x) = x + 6 to get

`\begin{gathered} f(g(x))=(g(x))^8 \\ f(g(x))=(x+6)^8 \end{gathered}`

Therefore, the answer is g(x) = x + 6