How do you find the asymptotes for # y=(x+3)/(2x-8)#?
Explanation is given below
For this problem, vertical asymptotes are found by equating the denominator to zero and solving for x.
For horizontal asymptote, check out the degree of numerator and denominator. If the degree of the numerator is same as the degree of denominator.
The Horizontal asymptote is got by dividing the lead coefficients of numerator and denominator.
For example if
Vertical asymptote is got by solving for
The Horizontal asymptote is got by
For our problem
The horizontal asymptote would be
If the degree of the numerator is greater than the degree of denominator then there is no Horizontal Asymptote.
If the degree of the denominator is greater than the degree of numerator then