what is the domain of the function shown in the graph below?

Explanation:

Step1: Recall domain definition

The domain of a function is the set of all possible x - values.

Step2: Analyze graph for x - values

Looking at the graph, the function exists for all real x - values except x = 0. There is a vertical asymptote at x = 0.

Answer:

$(-\infty,0)\cup(0,\infty)$