Answer:
f(g(-2)) = 12
Answer: C.
Explanation:
f(x) = - 1/2x² + 5x
g(x) = x² + 2
f(g(-2)) =
First, we evaluate g(-2).
g(x)= x² + 2
g(-2)= (-2)² + 2 = 4 + 2 = 6
Now we evaluate f(6).
f(x) = - 1/2x² + 5x
f(6) = - 1/2(6)² + 5(6) = - 1/2(36) + 30 = -18 + 30 = 12
Answer: f(g(-2)) = 12