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# inverse function

If a function $$f$$ is an injection (i.e., one-to-one) then it has an inverse denoted $$f^{-1}$$ that is defined by

$x=f^{-1}(y) \,\,\Leftrightarrow \,\, y=f(x)$

See the function article for a complete exposition.

Citation Info

• [MLA] “inverse function.” Platonic Realms Interactive Mathematics Encyclopedia. Platonic Realms, 28 Mar 2013. Web. 28 Mar 2013. <http://platonicrealms.com/>
• [APA] inverse function (28 Mar 2013). Retrieved 28 Mar 2013 from the Platonic Realms Interactive Mathematics Encyclopedia: http://platonicrealms.com/encyclopedia/inverse-function/