Question

The function h(x) = (x+7)^5 can be expressed in the form f(g(x)), where f(x) = x^5, and g(x) is defined below. g(x) =

Answer 1

Consider the following functions:

`f(x)=x^5`

and the composition:

`h(x)=f(g(x))=(x+7)^5`

Note that if

`g(x)=x+7`

we get:

`h(x)=f(g(x))=f(x+7)=(x+7)^5`

So that, we can conclude that the correct answer is:

`g(x)=x+7`