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Math Help - Rational function values

  1. #1
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    Rational function values

    Hi,

    Having a little problem on this..


    A rational function g(x) = a / (b+x) is such that g(x) = f(x) wherever f is defined.

    Find the values of a and b

    f(x) = (12-4x) / (x^2+2x-15)
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  2. #2
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    Re: Rational function values

    \displaystyle \begin{align*} f(x) &= \frac{12 - 4x}{x^2 + 2x - 15} \\ &= \frac{-4(x - 3)}{(x + 5)(x - 3)} \\ &= \frac{-4}{x + 5} \end{align*}

    So a = -4 and b = 5.
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