If f (x) = 3x + 2 and

g (x) = 2x - 2,

what is (f - g) (x) ?

A. x+4

B. x-2

C. x

D. 5x - 2

E. x-4

A. x + 4

Step-by-step explanation:

(f - g) (x) = f (x) - g (x)

f (x) = 3x + 2, g (x) = 2x - 2.

Substitute:

(f - g) (x) = (3x + 2) - (2x - 2) = 3x + 2 - 2x - (-2) = 3x + 2 - 2x + 2

combine like terms

(f - g) (x) = (3x - 2x) + (2 + 2) = x + 4