If f(x) = 3x + 10 and g(x) = 2x - 4, find (f - g)(x). O A. (f- g)(x) = x + 14
B. (f- g)(x) = -3x + 2x - 14
O C. (f- g)(x) = 3x + 2x + 6
D. (f- g)(x) = 3X – 2x + 14

Work Shown:

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

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

(f-g)(x) = (3x+10) - (2x-4)

(f-g)(x) = 3x+10 - 2x+4

(f-g)(x) = (3x-2x) + (10+4)

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

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option