Answer
See graph.
Work Step by Step
Step 1. Given $f(x)=\frac{4}{x-1}$, we can identify its V.A. $x=1$, H.A. $y=0$, x-intercepts: none, y-intercepts: -4.
Step 2. Use test points to graph the function as shown in the figure.
Another way is to start with $f(x)=\frac{1}{x}$, shift the curve 1 unit to the right, then stretch vertically by a factor of 4.