Question

If f(x) = -2 and g(x) = 2x² + x-3, find (f +9)(x).

Answer 1

(f + g)(x) = 2x² + x - 5

Explanation:

Given

`f(x) = -2`

`g\left(x\right)\:=\:2x^2+\:x-3`

To determine

(f + 9)(x) = ?

Using the formula

(f + g)(x) = f(x) + g(x)

substituting f(x) = -2 and g(x) = 2x² + x - 3

= -2 + 2x² + x - 3

= 2x² + x - 5

Therefore, we conclude that:

(f + g)(x) = 2x² + x - 5