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Math Help - Inverse Function Problem

  1. #1
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    Inverse Function Problem

    Given the function f(x) = \frac{2}{23x - k} , x \neq \frac{k}{3} and f^{-1}(x) = \frac{q}{x} + \frac{5}{3} ,x \neq 0.Find the value of k and q
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  2. #2
    A Plied Mathematician
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    What ideas have you had so far?
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  3. #3
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    f^{-1}(x) = \frac{2+kx}{23x} right?
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  4. #4
    A Plied Mathematician
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    Incidentally, I have a comment: either

    f(x)=\dfrac{2}{3x-k}, with x\not=k/3, or

    f(x)=\dfrac{2}{23x-k}, with x\not=k/23. Which is it?

    Let's nail down the exact problem first, before we waste a lot of time solving a different problem from the one you need to solve!
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