What is the natural domain of the function f(x,y)=√(x^2-y^2 )?
1
Expert's answer
2020-11-15T18:31:03-0500
Since "x^2-y^2\\geq 0" , it follows that "x^2 \\geq y^2" , that is, "|x| \\geq |y|" . This domain is contained between lines "y=-x" and "y=x" if "x \\geq 0", and between lines "y=x" and "y=-x" if "x<0" , including these lines.
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