Given the following functions:
f(x) = -3x - 6
g(x) = 5x + 2
(f + g)(x) means we will be adding the two functions.
[tex](f\text{ + g)(x) = f(x) + g(x)}[/tex]Let's now determine the sum of two functions.
[tex](f\text{ + g)(x) = f(x) + g(x) = (-3x - 6) + (5x + 2)}[/tex][tex]\text{ = -3x - 6 + 5x + 2}[/tex][tex]=\text{ 5x - 3x + 2 - 6}[/tex][tex](f+g)(x)=\text{ 2x - 4}[/tex]Therefore, the sum of the two functions is 2x - 4. The answer is letter A.