I have a homework problem as follows: Let f(x) = 2x, (-inf < x < inf). Can you think of functions g and h which satisfy the two equations g \circ f = 2gh and h \circ f = h^2 - g^2? I know that g \circ f = g(f(x)), which then = g(2x) for the first question. I can't figure out how to work the h in there. Help, please! Thank you.