Inverse Composition Rule

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If is the inverse function of
, then
. In this Demonstration you can choose two functions
and
. The graphs of
and
are drawn with red and blue dashes. Choose the composition
or
. The graph of the composition is drawn as a solid green curve. If it is the line
, the functions are inverses of each other. If the solid curve is only partly the same as the line
, the domain of the functions has to be restricted.
Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA
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"Inverse Composition Rule"
http://demonstrations.wolfram.com/InverseCompositionRule/
Wolfram Demonstrations Project
Published: March 7 2011