Question

Given f(x) = x − 7 and g(x) = x2 . Find g(f(−1)).

Answer 1

64

Explanation:

`g(f(-1))` can be found by first finding
`f(-1)` then taking that result and putting it into the function
`g`.

`f(-1)` means we are going to take the expression
`x-7` and evaluate it for
`x=-1`:

`-1-7`

`-8`

So
`f(-1)=-8`.

So we have this so far:

`g(f(-1))=g(-8)=(-8)^2=64`.

`g(-8)` was found by replacing
`x` in
`x^2` with
`-8`.