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Thread: How do I find the inverse of a rational function?

  1. June 2nd 2009, 01:57 PM #1
    s3a
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    How do I find the inverse of a rational function?

    How do I find the inverse of the following rational function?:

    y = -4(x-2)/(x+1)

    Any help would be GREATLY appreciated!
    Thanks in advance!
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  2. June 2nd 2009, 01:59 PM #2
    Jhevon
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by s3a View Post
    How do I find the inverse of the following rational function?:

    y = -4(x-2)/(x+1)

    Any help would be GREATLY appreciated!
    Thanks in advance!
    switch x and y

    x = \frac {-4(y - 2)}{y + 1}

    now solve for y, the resulting function is your inverse function
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  3. June 2nd 2009, 02:24 PM #3
    s3a
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    My problem is when it comes to solving for y.
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  4. June 2nd 2009, 02:31 PM #4
    yeongil
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    x = \frac {-4(y - 2)}{y + 1}

    x(y + 1) = -4(y - 2)

    xy + x = -4y + 8

    xy + 4y = -x + 8

    y(x + 4) = -x + 8

    y = \frac{-x + 8}{x + 4}


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