4(x+1)/ x(x-1) find asymptote

Question

Find the asymptote Of the follwoing problem and label it 

Answer 1

There are 3 asymptotes for the f(x) = 4(x+1)/x(x−1); two (2) vertical asymptotes and one (1) horizontal asymptote.

 

V. A.   x = 0, x = 1

 

H. A.   y = 0

 

Since the domain has restrictions x≠0 and x≠1, and since x, nor (x−1) reduce out of the fraction, the V. A. are as shown above.

 

Since the degree of the numerator polynomial is 1, and the degree of the denominator polynomial is 2, a horizontal asymptote exits and is y = 0