# Involution (mathematics)

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

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

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

Function that is its own inverse

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