Question

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

Answer 1

Answer:

A

Step-by-step 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.