Question

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

Explanation:

Step1: Identify excluded x-value

The graph has a vertical dashed line (asymptote) at $x=1$, so $x=1$ is not in the domain.

Step2: Define valid x-values

All real numbers except $x=1$ are allowed.

Answer:

All real numbers except $x=1$, or in interval notation: $(-\infty, 1) \cup (1, \infty)$