Question

Express your answer as a polynomial in standard form.

f(x) = -x + 6
g(x) = 2x² + x + 2
Find: (fog)(x)

Answer 1

(f o g)(x) = -2x² - x + 4

Explanation:

f(x) = -x + 6

g(x) = 2x² + x + 2

To find (f o g)(x), you need put g(x) into f(x).

f(x) = -x + 6

(f o g)(x) = -(2x² + x + 2) + 6

(f o g)(x) = -2x² - x - 2 + 6

(f o g)(x) = -2x² - x + 4