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Math Help - Rational function operations

  1. #1
    Senior Member vaironxxrd's Avatar
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    Rational function operations

    \frac{x-4}{6x-24} \frac{1}{4-x} = ?


    Result:
    \frac{(x-4)(4-x)}{6x-24}

    I do not know if I should simplify this...
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  2. #2
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    Re: Rational function operations

    Quote Originally Posted by vaironxxrd View Post
    \frac{x-4}{6x-24} \frac{1}{4-x} = ?


    Result:
    \frac{(x-4)(4-x)}{6x-24}

    I do not know if I should simplify this...
    Yes you should...

    \displaystyle \begin{align*} \frac{(x - 4)(4 - x)}{6x - 24} &= \frac{(x - 4)(4 - x)}{6(x - 4)} \\ &= \frac{4 - x}{6} \end{align*}
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  3. #3
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    Re: Rational function operations

    Oops. I was a little too late. Lol.

    Rational function operations-ratfu.jpg
    Last edited by highvoltage; March 20th 2012 at 07:54 PM.
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  4. #4
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    Re: Rational function operations

    One "technical point":
    \frac{(x- 4)(4- x)}{6(x- 4)}= \frac{4- x}{6}= -\frac{x- 4}{6}
    for x\ne 4.

    It is not defined for x= 4.
    Last edited by HallsofIvy; March 21st 2012 at 05:04 PM.
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