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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