Given f(x)=x2 3x−3 and g(x)=2x , find g(f(x)) . In this case, we’ll need to plug the whole function for f(x) into the input (x ) spot in the g(x) function. g(f(x))= (x2 3x−3) Then we’ll distribute to each term. g(f(x))= (x2) (3x)− 3 Simplify to get the final answer. g(f(x))= x2 x−6