Answer:
[tex](f+g)(x) = -8x-6[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) = -5x - 4 \text{ and } g(x) = -3x - 2[/tex]
And we want to find:
[tex](f+g)(x)[/tex]
Recall that this is equivalent to:
[tex]\displaystyle (f+g)(x) = f(x) + g(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned} (f+g)(x) &= (-5x-4)+(-3x-2) \\ \\ &= -8x-6 \end{aligned}[/tex]
In conclusion:
[tex](f+g)(x) = -8x-6[/tex]
