How do you find & draw the domain of the function $\displaystyle f(x,y)=-\sqrt{x^2+y^2-121}-\frac{1}{\sqrt[7]{x-y}}$

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- Feb 4th 2010, 05:20 PMeri123Domain of a multivariable function
How do you find & draw the domain of the function $\displaystyle f(x,y)=-\sqrt{x^2+y^2-121}-\frac{1}{\sqrt[7]{x-y}}$

- Feb 5th 2010, 01:02 AMCalculus26
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 - Feb 5th 2010, 06:49 AMeri123
Appreciate the help!