A function \(f\) is self-inverse if it has the property that \[f(f(x)) = x\] for every \(x\) in the domain of \(f\). In other words, \(f(x)=f^{-1}(x)\).
For example, \(\dfrac{1}{x}\) and \(3-x\) are self-inverse.
Glossary
Self-inverse function
A function \(f\) is self-inverse if it has the property that \[f(f(x)) = x\] for every \(x\) in the domain of \(f\). In other words, \(f(x)=f^{-1}(x)\).
For example, \(\dfrac{1}{x}\) and \(3-x\) are self-inverse.