Answer:
a. 7x-1
Step-by-step explanation:
The given functions are;
[tex]f(x)=5x-2[/tex] and [tex]g(x)=2x+1[/tex].
We want to find;
[tex](f+g)(x)=f(x)+g(x)[/tex]
This implies that:
[tex](f+g)(x)=(5x-2)+(2x+1)[/tex]
Regroup similar terms;
[tex](f+g)(x)=5x+2x+1-2[/tex]
Combine similar terms;
[tex](f+g)(x)=7x-1[/tex]
The correct choice is
a. 7x-1
