What is (f–g)(x)?
f(x)=
–
2x
g(x)=2x2–4x
Write your answer as a polynomial or a rational function in simplest form.
(f-g)(x) can be found by subtracting g(x) from f(x):
(f-g)(x) = f(x) - g(x)
= -2x - (2x^2 - 4x)
= -2x - 2x^2 + 4x
= -2x^2 + 2x
Therefore, (f-g)(x) = -2x^2 + 2x.