Answer
Domain: x and y can be any real numbers except 0, that is $x\ne0, y\ne0$
Range: $g(x,y) \ne 0$
Level curves: $\frac{1}{xy} = c$ (constant).
Work Step by Step
Function: $g(x,y) = \frac{1}{xy}$
Domain: x and y can be any real numbers except 0, that is $x\ne0, y\ne0$
Range: $g(x,y) \ne 0$
Level curves: $g(x,y) = c$ (constant).
$\frac{1}{xy} = c$
$xy = \frac{1}{c}$
For example, when $c = 1$, the level curve $xy = 1$ is shown in the figure.
