evaluate: f(g(-7)) y = f(x) y = g(x)

Explanation:

Step1: Find $g(-7)$

From the graph of $y = g(x)$, when $x=-7$, we look at the $y -$ value. The graph of $y = g(x)$ is a piece - wise linear function. When $x = - 7$, $g(-7)=3$.

Step2: Find $f(g(-7))$

Since $g(-7)=3$, we now need to find $f(3)$. We look at the graph of $y = f(x)$. When $x = 3$, from the graph of $y=f(x)$, the $y -$ value corresponding to $x = 3$ is $9$.

Answer:

$9$