Answer:
D.27
Step-by-step explanation:
This is a question of composite functions.
(fog)(x) = f(g(x)).
We have that:
f(x) = 3x
g(x) = (x+2)²
To find f(g(x)), we replace each x in f(x) by g(x), which is (x+2)². So
f(g(x)) = f((x+2)²)=3(x+2)²
At x = -5
f(g(-5)) = 3(-5+2)² = 3*(-3)²=3*9 = 27
The correct answer is D.27
