Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x). A) (f + g)(x) = x2 + 2x+3 B) (f + g)(x) = x2 + 6x+ 3 C) (f + g)(x) = -x2 + 6x + 7 D) (f + g)(x) = – x2 + 2x - 7…

Question

asked Feb 3, 2022 115k views

1 Answer

Daniela Miao · Answer 1 · 2022-02-07T14:47:00+0000

Answer:

A

Explanation:

We are given the two functions:

$f(x)=4x+5\text{ and } g(x)=x^2-2x-2$

And we want to find:

(f+g)(x)

This is equivalent to:

=f(x)+g(x)

Substitute:

=(4x+5)+(x^2-2x-2)

Rearrange:

=(x^2)+(4x-2x)+(5-2)

Combine like terms. Hence:

(f+g)(x)=x^2+2x+3

Our answer is A.