F (x) = -4x g (x) = 3x+12g (x) = 3x+12 Find (f+g) (2). (f+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.