Answer
See graph, domain $\{x|x\ne 3k\pi+\frac{3\pi}{4}\}$ (k is an integer), range $(-\infty,\infty)$.
Work Step by Step
1. See graph for $y=5cot(\frac{x}{3}-\frac{\pi}{4})$.
2. We can determine the domain $\{x|x\ne 3k\pi+\frac{3\pi}{4}\}$ (k is an integer), range $(-\infty,\infty)$.