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