Question

F(x) = -2x - 3
g(x) = x² + 5x
Evaluate:
g(f(3))

Answer 1

`g(f(3)) = 36`

Explanation:

1. Find the value of f(3)

`f(3) = -2(3) -3 \\f(3) = -6 - 3\\f(3) = -9`

2. Insert f(3) into g(f(3)), we get g(-9), find g(-9)

`g(-9) = (-9)^2 + 5(-9)\\g(-9) = 81 -45\\g(-9) = 36`