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Math Help - Inverse Function Problem

  1. #1
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    Inverse Function Problem

    Given f(x) = mx^2 + 2x , where m is a constant and f^{-1}\left[\frac{1}{2}\right] = -1.Find the value of m
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Find f^-1(x).
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  3. #3
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    Although it certainly will work, it is not necessary to actually find the function f^{-1}(x). If y= f(x) then x= f^{-1}(y). In y= mx^2+ 2x, replace x with -1, replace y with 1/2, and solve for m.
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