# Involution (mathematics)

## Function that is its own inverse / From Wikipedia, the free encyclopedia

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For the archaic use of this term, see exponentiation.

In mathematics, an **involution**, **involutory function**, or **self-inverse function**^{[1]} is a function f that is its own inverse,

*f*(*f*(*x*)) =*x*

for all x in the domain of *f*.^{[2]} Equivalently, applying f twice produces the original value.