Question

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

Answer 1

A. x + 4

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