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This isn't really a homework question, just a curiousity, but here goes.

Is it possible to find every function that is its own inverse? That is, can we find all functions that fit the definition

[tex]f(x) = f^{-1}(x) \forall x[/tex]

?

I can name two... f(x) = x and f(x) = x^{-1}. Are there others? If not, can that fact be proven?

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# Homework Help: Inverse functions and functions

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