Chapter 13 - Functions of Several Variables - Review Exercises - Page 960: 3

$$D:x \geqslant 0,{\text{ }}y \ne 0$$

$$\eqalign{ & f\left( {x,y} \right) = \frac{{\sqrt x }}{y} \cr & {\text{The expression under the radical cannot be negative, so}} \cr & x \geqslant 0,{\text{ and the denominator must be }} \ne {\text{0, so the domain}} \cr & {\text{of the funcion is:}} \cr & D:x \geqslant 0,{\text{ }}y \ne 0 \cr} $$