Question

evaluate: $f(g(-6))$
$y = f(x)$
$y = g(x)$

Explanation:

Step1: Find $g(-6)$ from its graph

Locate $x=-6$ on $y=g(x)$, the corresponding $y$-value is $4$. So $g(-6)=4$.

Step2: Find $f(4)$ from its graph

Use $g(-6)=4$ as input for $f(x)$. Locate $x=4$ on $y=f(x)$, the corresponding $y$-value is $-6$. So $f(4)=-6$.

Answer:

$-6$