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Math Help - find the inverse function

  1. #1
    Member sluggerbroth's Avatar
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    find the inverse function

    find the inverse function
    f(x)=4x/(x-2)
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: find the inverse function

    f(x)=\frac{4x}{x-2}
    To find the inverse, start with:
    x=\frac{4y}{y-2}
    \Leftrightarrow x(y-2)=4y
    \Leftrightarrow xy-2x=4y
    \Leftrightarrow xy-4y=2x
    \Leftrightarrow y(x-4)=2x
    \Leftrightarrow y=\frac{2x}{x-4}

    Thus the inverse function:
    f^{-1}(x)=\frac{2x}{x-4}
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