Question 34601
y=2x/(x-1)
a) Domain?
The denominator cannot be zero, so x cannot be 1.
Domain: all real numbers except x=1
b)Vertical Asymptote
  As x gets closer and closer to x=1 the fraction get larger and larger;
  that means y gets larger and larger; that means you have a vertical 
  asymptote at x=1
c)Horizontal Asymptote
  As x gets very large the 2x/x pretty well determine the value of y.
  That means you have a horizontal asymptote at y=2
Cheers,
Stan H.