What is (f–g)(x)?f(x)=–3x2+3xg(x)=–4x

To find (f-g)(x), we need to subtract the function g(x) from f(x).

The given functions are:

f(x) = -3x^2 + 3x g(x) = -4x

So, (f-g)(x) = f(x) - g(x)

Substitute f(x) and g(x) into the equation:

(f-g)(x) = (-3x^2 + 3x) - (-4x)

Simplify the equation by removing the parentheses and combining like terms:

(f-g)(x) = -3x^2 + 3x + 4x

Combine the x terms:

(f-g)(x) = -3x^2 + 7x

So, (f-g)(x) = -3x^2 + 7x is the solution.