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Math Help - Please help!

  1. #1
    Junior Member
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    Smile Please help!

    Let f(x) be a function whose domain is the set of real numbers, for which f(0)=1 , and such that for any pair of real numbers x and y we have :

    f( xy + 1 ) = f(x) f(y) - f(y) -x + 2

    Determine the formula for f(x) .



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  2. #2
    MHF Contributor red_dog's Avatar
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    For x=y=0 we have f(1)=2.
    For y=0 we have f(x)=x-1+f(1).
    Then f(x)=x+1.
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