Answer :

It is given that f: X Y be an invertible function.

Then, there exists a function g: Y X such that gof = Ix and fog = Iy.

Then, f-1 = g.

Now, gof = Ix and fog = Iy

f-1of = Ix and fof-1 = Iy

Thus, f-1: YX is invertible and f is the inverse of f-1.

Therefore, (f-1)-1 = f.

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