Question

Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x).

Answer 1

x² + 2x + 3

Explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 4x + 5 + x² - 2x - 2 ← collect like terms

= x² + 2x + 3