Question

If f(x) = 5x – 3 and g(x) = 3x – 3, find f(x) – g(x).
A.
2x
B.
8x – 6
C.
2x – 6
D.
8x

Answer 1

You just have to subtract the equations.
f(x) – g(x) = (5x – 3) -(3x – 3)
Now you just have to simplify

Answer 2

(f-g)(x) is a shorthand way of saying that you need to get the difference of the two functions: f(x) and g(x). so essentially,

(f-g)(x) = f(x) - g(x)
= 5x+2 - (-3x+4)
= 8x-2

(f/g)(-2) = f(-2)/g(-2)
= -4/5 or -0.8

Hope this helps.