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Math Help - Domain of a multivariable function

  1. #1
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    Domain of a multivariable function

    How do you find & draw the domain of the function f(x,y)=-\sqrt{x^2+y^2-121}-\frac{1}{\sqrt[7]{x-y}}
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  2. #2
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    for the term 1/(x-y)^(1/7) we have all 2 space except y = x this line must be eliminated from the domain

    for the term sqrt(x^2 +y^2 -121)

    We must have

    x^2 +y^2 -121 > 0

    x^2 + y^2 > 121

    this is everything on the boundary and outside the circle of radius 11

    See attachment --domain in red
    Attached Thumbnails Attached Thumbnails Domain of a multivariable function-domain.jpg  
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  3. #3
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    Appreciate the help!
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