f(x)=2x/(x-1)
Denominator cannot be equal 0.
x-1=0
x=1 is vertical asymptote.
To find horizontal asymptote
we need divide the coefficients before x
y=2x/x=2,because when x becomes really big (x---->∞) , value of 1 will not influence the result .
y=2 is horizontal asymptote