jmc
algebra junior
Problem
Suppose f(x)=6x−9 and g(x)=3x+2. Find f(g(x))−g(f(x)).
Solution — click to reveal
We have that f(g(x))=f(3x+2)=6(3x+2)−9=2x+12−9=2x+3and g(f(x))=g(6x−9)=36x−9+2=2x−3+2=2x−1.So f(g(x))−g(f(x))=2x+3−(2x−1)=2x+3−2x+1=4.