Answer:
D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1
Step-by-step explanation:
You need to subtract g(x) from f(x).
(f - g)(x) = f(x) - g(x) =
= 4x^3 + 7x^2 - 2x - 1 - (4x - 2)
Distribute the negative sign at the left of the parentheses as you would distribute a -1. Every sign inside the parentheses changes.
= 4x^3 + 7x^2 - 2x - 1 - 4x + 2
Combine like terms.
= 4x^3 + 7x^2 - 6x + 1
Answer: D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1
