if f(x)=3x-2 and g(x)=2x+1, find (f-g)(x)

Question

i'm having difficulty with my algebra can someone please help me?

Answer 1

f(x)-g(x) = 3x-2 - (2x+1) Distribute to clear the parenthesis.

3x-2 - (2x+1) (My guess is this is what you are missing. When you subtract polynomials you have to subtract the whole polynomial which involves changing the sign of all the terms. Many people just subtract the first term.)

3x-2-2x-1 Combine like terms

x-3

Answer 2

"f" is "3x - 2" and "g" is "2x + 1" so f - g = (3x - 2) - (2x + 1). Distribute the "-" to get 3x - 2 - 2x - 1 then combine like terms: x - 3