ANSWER
g(f(-2)) = 8
Step-by-step explanation
We are given that
f(x) = -2x - 5
and
g(x) = -x + 7
We want to find g(f(-2)).
To do this, we have to first find f(x) when x = -2 and then put that value into g(x).
That is:
f(x = -2) = f(-2) = -2(-2) - 5
f(-2) = 4 - 5
f(-2) = -1
Therefore, g(f(-2)) is:
g(f(-2)) = g(x = -1) = g(-1) = -(-1) + 7
g(f(-2)) = 1 + 7
g(f(-2)) = 8