- #1

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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.