Question

F(x) = x2 + 5x + 12
g(x) = -x + 11
Find: go f(x)

Answer 1

- x² - 5x - 1

Explanation:

To evaluate (g ￮ f)(x) substitute x = f(x) into g(x), that is

g(x² + 5x + 12)

= - (x² + 5x + 12) + 11 ← distribute parenthesis

= - x² - 5x - 12 + 11

= - x² - 5x - 1