F(x)=−4x g(x)=3x+12g(x)=3x+12 find (f+g)(+g)(2)

(f +g)(2) = 10

Solution:

Given f(x) = –4x

         g(x) = 3x + 12

Let us first find f(2) and g(2).

Substitute x = 2 in f(2) and g(2).

f(2) = –4 × 2 = –8

g(2) = (3 × 2) + 12 = 18

Let us find (f + g)(2).

(f + g)(2) means adding combination of two functions.

(f +g)(2) = f(2) + g(2)

            = –8 + 18

            = 10

(f +g)(2) = 10

Hence, (f +g)(2) = 10.