F(x)=3x^3+3x^2-x-7
G(x)=-4x^2+5x-9
Find (f-g)(x)
(f-g)(x) = F(x) - G(x)
(f-g)(x) = (3x^3 + 3x^2 - x - 7) - (-4x^2 + 5x - 9)
(f-g)(x) = 3x^3 + 3x^2 - x - 7 + 4x^2 - 5x + 9
(f-g)(x) = 3x^3 + 7x^2 - 6x + 2
Therefore, (f-g)(x) = 3x^3 + 7x^2 - 6x + 2