Question

If f(x) = x + 8 and g(x) = –4x – 3, find (f + g)(x).

A. (f + g)(x) = 5x + 11
B. (f + g)(x) = –3x + 5
C. (f + g)(x) = –5x – 11
D. (f + g)(x) = 3x – 5

Answer 1

Here we are simply adding the two function to create a new one...

(f+g)(x)=f(x)+g(x)

(f+g)(x)=(x+8)+(-4x-3)

(f+g)(x)=-3x+5 (so B)