Question

Let f(x) = 3x² + 1 and g(x) = x +4.

Find (f +g)(x)

and (f -g)(x).

Answer 1

(f + g)(x) = 3x² + x + 5

(f - g)(x) = 3x² - x - 3

Explanation:

(f + g)(x) → f(x) + g(x) → 3x² + 1 + x + 4

Combine like terms and you get: 3x² + x + 5

(f - g)(x) → f(x) - g(x) → 3x² + 1 - (x + 4)

Remember to distribute the neg. everything in the parentheses. Combine like terms and you get: 3x² - x - 3