Question

Given the functions:

f(a) = 3(a + 2)^2 - 10
g(b) = (2/5)b + 4

What is g(f(-2))?

A) 0
B) 2
C) 4
D) 6

Answer 1

To find g(f(-2)), substitute -2 into f(a), then substitute the result into g(b). The answer is 0.

Step-by-step explanation:

To find the value of g(f(-2)), we need to find the value of f(-2) first. Substitute -2 into the function f(a) = 3(a + 2)^2 - 10:

f(-2) = 3((-2) + 2)^2 - 10

Simplifying, we get f(-2) = 3(0)^2 - 10 = -10

Now, substitute -10 into the function g(b) = (2/5)b + 4:

g(-10) = (2/5)(-10) + 4

Simplifying, we get g(-10) = -4 + 4 = 0

Therefore, g(f(-2)) is equal to 0. So, the answer is A) 0.