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Math Help - Bijections

  1. #1
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    Bijections

    Prove that f(x) = (x-1/2) / (x(x-1)) is a one to one correspondence form (0,1) onto R.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by veronicak5678 View Post
    Prove that f(x) = (x-1/2) / (x(x-1)) is a one to one correspondence form (0,1) onto R.
    What have you tried?
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  3. #3
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    I tried proving it is 1-1 by setting f(x) = f(y), but it didn't seem to work...
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by veronicak5678 View Post
    I tried proving it is 1-1 by setting f(x) = f(y), but it didn't seem to work...
    Why didn't it seem to work?
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  5. #5
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    I couldn't simplify it to get x = y
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  6. #6
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    This should be easy to show by taking the derivative. If you need more details let me know.
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