Question

Let f(x) = x/(x-6). Find a function y=g(x) so that (f o g)(x)=2x.

Answer 1

solve as a simultaneous equation maybe?
 f(x) + g(x) = 2x or                            x/(x-6) + y =2x
and then solve so it becomes          2x^2 + 5x =y
  then factorise into brackets or use quadratic formula