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Math Help - What is the inverse function of f?

  1. #1
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    What is the inverse function of f?

    What is the inverse function of f(x)=?



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  2. #2
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    Actually, that has a very simple answer. The inverse function to f(x)= xe^x is, by definition, f^{-1}(x)= W(x), "Lambert's W function". It cannot be written in terms of elementary functions.

    See http://en.wikipedia.org/wiki/Lambert's_W_function
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