Question

If f(x) = 5x – 2 and g(x) = x+1, find (f = g)(x).

OA. 5x - x-3
B. 5x2 +1
O C. 5x® - X-1
D. 5x4 - 2

Answer 1

Answer: Choice A) 5x^3 - x - 3

=================================================

Work Shown:

We subtract the two functions like so

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

(f - g)(x) = ( 5x^3-2 ) - ( x+1 )

(f - g)(x) = 5x^3 - 2 - x - 1

(f - g)(x) = 5x^3 - x - 3 ..... choice A

Note: be sure to remember to distribute the negative to every term inside (x+1), and not just to the x only.