If f(x)=x-1/3 and g(x)=3x+1, what is (f*g)(x) 3x+1 x-3

This is a composite.  Another way to write them is f(g(x)).  Take the function g(x) and stick it in for x in f(x).  Like this: .  But we aren't done cuz there's some simplifying there to do.  and canceling out the 3's we get just a simple x as our answer.  The choice is the last one above as your answer.