Respuesta :
Answer: The correct option is
(A) (ƒ + g)(x) = 6x − 2.
Step-by-step explanation: We are given to find the value of (f + g)(x) for the following functions :
[tex]f(x)=2x-5,\\\\g(x)=4x+3.[/tex]
We know that
for any two functions p(x) and q(x), we have
[tex](f+g)(x)=p(x)+q(x).[/tex]
So, we get
[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=2x-5+4x+3\\\\=6x-2.[/tex]
Thus, [tex](f+g)(x)=6x-2.[/tex]
Option (A) is CORRECT.