Question

For f(x) = 4x + 2 and g(x) = x^2 - 6, find (f+g)(x)

Answer 1

`(f+g)(x) = x^2 + 4x - 4`

Explanation:

We are given these following functions:

`f(x) = 4x + 2`

`g(x) = x^2 - 6`

(f+g)(x)

We add the common terms. Thus:

`(f+g)(x) = f(x) + g(x) = 4x + 2 + x^2 - 6 = x^2 + 4x + 2 - 6 = x^2 + 4x - 4`

Thus:

`(f+g)(x) = x^2 + 4x - 4`