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Math Help - Implied domain

  1. #1
    Junior Member
    Joined
    Dec 2007
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    41

    Implied domain

    Find the implied domain of f(x)= (square root x-5) + (square root 15 -x)
    or (x-5) ^(1/2) + (15 -x)^(1/2)


    Sorry I don't know how to use the square root sign here.
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  2. #2
    MHF Contributor
    Joined
    Nov 2008
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    France
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    Hi

    f(x) = \sqrt{x-5} + \sqrt{15-x}

    You can take the square root of only positive expressions

    You must have both x-5 \geq 0 and 15-x \geq 0
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