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. <>
  • [APA] inverse function (28 Mar 2013). Retrieved 28 Mar 2013 from the Platonic Realms Interactive Mathematics Encyclopedia:


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