If f(x)=3x^2+x-3 and g(x)=-3+4x+5x^2 find (f-g)(x)

Question

If f(x)=3x²+x-3 and g(x)=-3+4x+5x² find (f-g)(x)

I got this question in pre-calc and all of the websites i looked at are not helping. Can someone help me with this and explain it in steps. Thanks

Answer 1

Subtract the polynomials: (3x^2 + x - 3) - (5x^2 + 4x -3) = -2x^2 - 3x