Question

Let g(2x + 5) = 4x^2 - 3x + 2. Find g(-3).

Answer 1

g(-3) = 78

Explanation:

Step 1: Set g(2x + 5) = g(-3)

2x + 5 = -3

Step 2: Solve for x

2x = -8

x = -4

Step 3: Plug in -4 for x

g(-3) = 4(-4)² - 3(-4) + 2

g(-3) = 4(16) + 12 + 2

g(-3) = 64 + 14

g(-3) = 78