Answer
the domain is $\{R^2: x\neq 0, y\neq 0\}$.
Work Step by Step
The domain of the function $$g(x,y)=\frac{1}{xy}$$
since the function $g$ is defined only for non-zero values of $x,y$. So the domain is $\{R^2: x\neq 0, y\neq 0\}$.
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 12 - Functions of Several Veriables - 12.2 Graphs and Level Curves - 12.2 Exercises - Page 882: 3
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