Question 562074
First: g(f(x))=x^2-3x+2+1=x^2-3x+3

Second: f(g(x))=(x+1)^2-3(x+1)+2=x^2-x

f(x)g(x)= x^3-2x^2-x+2. What type of function is it? I'm not sure exactly what they mean by that, but it is a polynomial for sure.