Question

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

Answer 1

Answer:

64

Step-by-step 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 $-8$.