Answer
shift $\frac{1}{x}$ to the right 3 units,
(a) domain $(-\infty,3)U(3,\infty)$
(b) range $(-\infty,0)U(0,\infty)$
(c) increasing $none$
(d) decreasing $(-\infty,3)U(3,\infty)$
Work Step by Step
The graph of $f(x)=\frac{1}{x-3}$ can be obtained by shifting $\frac{1}{x}$ to the right 3 units . See graph, we can identify the following:
(a) domain $(-\infty,3)U(3,\infty)$
(b) range $(-\infty,0)U(0,\infty)$
(c) increasing $none$
(d) decreasing $(-\infty,3)U(3,\infty)$