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Math Help - Finding inverse of this function?

  1. #1
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    Dec 2009
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    103

    Finding inverse of this function?

    Ok so I am doing these exercises and I get to this one:

    f(x) = x-2/x+2

    so I do y = x-2 / x+2
    > yx + 2y = x - 2
    > yx - x = -2y - 2
    > x(y - 1) = -2y - 2
    > x = -2y - 2/y - 1

    is the final answer f^-1(x) = -2x - 2/x - 1

    ??? Sorry I know I did something quirky along the way, any help appreciated
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  2. #2
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    Feb 2010
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    Rez
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    Yep, it's right. You can cancel a -1 to get (2x+2)/(1-x) if you like, but it's the same thing.
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