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Thread: Finding domain for composite functions

  1. #1
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    Finding domain for composite functions

    I have

    f(x)=6/(x-3)
    g(x)=1/x

    Find the domains of

    f(g(x)) and g(f(x)) with steps if possible.

    Thank you in advance, I really need your help.
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  2. #2
    MHF Contributor
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    Re: Finding domain for composite functions

    $f(x)$ is not defined at $x=3$. $g(x)$ is not defined at $x=0$.

    So, $f(g(x))$ is not defined at $x=0$ or at $g(x) = 3$.

    $g(f(x))$ is not defined at $x=3$ or at $f(x) = 0$.

    Can you finish from there?
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