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Thread: Help with two functions...

  1. #1
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    Help with two functions...

    f(x)= x/2-x and g(x)=1/x

    domain f o g



    Any help with this question would be much appreciated. Thank you!
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  2. #2
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    Re: Help with two functions...

    Quote Originally Posted by curt26 View Post
    f(x)= x/2-x and g(x)=1/x

    domain f o g



    Any help with this question would be much appreciated. Thank you!
    Is the question is asking for the domain of $\displaystyle fg$?

    If so, then the answer is the domain of the function g(x) which has to be provided in the question.
    Last edited by Punch; Mar 18th 2013 at 09:52 PM.
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  3. #3
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    Re: Help with two functions...

    Quote Originally Posted by curt26 View Post
    f(x)= x/2-x and g(x)=1/x

    domain f o g



    Any help with this question would be much appreciated. Thank you!
    $\displaystyle f \circ g=f(g(x))=\frac{\frac{1}{x}}{2-\frac{1}{x}}=\frac{1}{2x-1}$

    Domain : $\displaystyle \forall x \in \mathbb{R} ~\text{except}~ x=\frac{1}{2} ~\text{and}~x=0$
    Last edited by princeps; Mar 18th 2013 at 09:56 PM.
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  4. #4
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    Re: Help with two functions...

    x/2-x or x/(2-x) ?
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