What is the answer?

Question

let f(x) = 3x + 11

g(x) = x² + x + 2

Evaluate f(g(a-6))

Answer 1

g(a-6) = (a-6)² + a-6 + 2 = a² - 12a + 36 + a - 6 + 2 = a² -11a + 32

f(a² - 11a + 32) = 3(a² - 11a + 32) + 11 = 3a² - 33a + 96 + 11 = 3a² - 33a + 107