Answer
$ y $ is continuous on
$$(-\infty,0)\cup(0,\infty)$$
Work Step by Step
Given $$ y=\frac{\cos x}{x} $$
The denominator is zero at $ x=0$ and $\cos x $ is defined on $ R $. So, $ y $ is continuous on
$$(-\infty,0)\cup(0,\infty)$$
(All values except 0).