Question

evaluate: $f(g(-7))$
$y = f(x)$
$y = g(x)$
answer
attempt 1 out of 2

Explanation:

Step1: Find $g(-7)$ from its graph

Locate $x=-7$ on $y=g(x)$. The line passes through $(-7, -3)$, so $g(-7) = -3$.

Step2: Find $f(g(-7))=f(-3)$

Locate $x=-3$ on $y=f(x)$. The parabola passes through $(-3, -7)$, so $f(-3) = -7$.

Answer:

$-7$