This should help:
[tex]y=\frac{x+1}{x-1}[/tex]
[tex]=\frac{(x-1)+2}{x-1}[/tex]
[tex]=\frac{x-1}{x-1}+\frac{2}{x-1}[/tex]
[tex]=1+\frac{2}{x-1}[/tex]
So it is the graph of y=1/x, just multiplied by two, shifted up by one, and shifted to the left by one.