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Mathematics-Online course: Basic Mathematics - Mappings

Inverse Mapping

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For a bijective map $ f:A\to B$, the inverse map $ f^{-1}:B\to A$ is defined by

$\displaystyle b=f(a) \Leftrightarrow a = f^{-1}(b) \quad . $

\includegraphics[width=10cm]{inverse_Bild}

In particular, we have $ a = f^{-1}(f(a))$, which means that $ f^{-1}\circ f$ is the identical map.

(Authors: Höllig/Knesch/Abele)
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  automatically generated 10/31/2008