Chapter 13 - Partial Derivatives - 13.2 Limits And Continuity - Exercises Set 13.2 - Page 926: 45

$ (x, y) \epsilon(-\infty, \infty)$ (All real numbers.)

We are given that \[ f(x, y)=\frac{y}{11 x^{2}+3} \] We have to find and plot the domain of $f(x, y)$ So here, $y \in \mathrm{R}$ and $11 x^{2}+3 \neq 0$; we can see that the denominator is always positive and never becomes equal to zero. So our domain includes all the real numbers.