Answer
(a) all real numbers except $ x\ne \frac{k\pi}{2}+\frac{3\pi}{4}$ where $ k $ is an integer.
(b) $ y\in(-\infty,\infty)$
Work Step by Step
Function: $ y=tan(2x-\pi)$
(a) Domain: $2x-\pi\ne k\pi+\frac{\pi}{2}$ which gives $ x\ne \frac{k\pi}{2}+\frac{3\pi}{4}$ where $ k $ is an integer.
(b) Range: $ y\in(-\infty,\infty)$
