Question

if (x) = 4X-8 and g(x) = 5x + 6, find (f-g)(x). O A. (f- g)(x) = - 4x + 5x + 14 O B. (f- g)(x) = 4% - 5x - 14 O C. (f- g)(x) = -x - 14 0 D. (f- g)(x) = 4x + 5x - 2

Answer 1

(f-g)(x) = -x - 14 (option C)

Explanation:

f (x) = 4x - 8

g(x) = 5x + 6

(f-g)(x) means f(x) - g(x)

f(x) - g(x) = 4x - 8 - (5x + 6)

open the parnethesis:

Note: Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

4x - 8 - (5x + 6) = 4x - 8 - 5x - 6

collect like terms:

f(x) - g(x)= 4x - 5x -8 - 6

f(x) - g(x) = -x - 14

(f-g)(x) = -x - 14 (option C)