Question

What is (f - g)(x)?
f(x) = 3x
g(x) = 3x2 – 3x

Answer 1

-3x^2 +6x

Explanation:

f(x) = 3x

g(x) = 3x^2 – 3x

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

= 3x - (3x^2 -3x)

Distribute the negative sign

= 3x - 3x^2 +3x

Combine like terms

= -3x^2 +3x +3x

=-3x^2 +6x