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Math Help - Finding Equation of Rational Function

  1. #1
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    Finding Equation of Rational Function

    What is the equation of a rational function with an oblique asymptote at y=x-3 and a vertical asymptote at x=-4

    This is what I did so far
    f(x) = (x-3)+a/x+4

    How do I find out what a is?
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  2. #2
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    Re: Finding Equation of Rational Function

    Hey xoxo.

    What is meant be an oblique asymptote? Also do you have any initial conditions for your function?
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  3. #3
    MHF Contributor MarkFL's Avatar
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    Re: Finding Equation of Rational Function

    The constant a can be any real non-zero value. You have found a family of functions satisfying the given requirements. Unless you are given a point it must pass through, I would just combine terms. If you want to just write one example, I suggest letting a = 12.
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