Question: Let f, g be functions such that (g f)(x) = x for all x D(f) and (f g)(y) = y for all

Let f, g be functions such that (g ο f)(x) = x for all x ∈ D(f) and (f ο g)(y) = y for all y ∈ D (g). Prove that g = f-1.

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