ANSWER
B.
[tex](f+g)(x) ={3}^{x} + 2x + 6[/tex]
EXPLANATION
The given functions are:
[tex]f(x) = {3}^{x} + 10[/tex]
and
[tex]g(x) = 2x - 4[/tex]
We want to find (f+g)(x).
[tex](f+g)(x) = f(x) + g(x)[/tex]
[tex](f+g)(x) ={3}^{x} + 10 + 2x - 4[/tex]
Combine similar terms,
[tex](f+g)(x) ={3}^{x} + 2x + 10- 4[/tex]
Simplify:
[tex](f+g)(x) ={3}^{x} + 2x + 6[/tex]
The correct answer is B
