Answer:
27
Step-by-step explanation:
Step 1: Define
f(x) = x - 14
g(x) = x² + 2x + 12
Step 2: Find g(f(x))
g(f(x)) = (x - 14)² + 2(x - 14) + 12
g(f(x)) = x² - 28x + 196 + 2x - 28 + 12
g(f(x)) = x² - 26x + 180
Step 3: Find g(f(9))
g(f(9)) = 9² - 26(9) + 180
g(f(9)) = 81 - 234 + 180
g(f(9)) = -153 + 180
g(f(9)) = 27
