# How do you find vertical, horizontal and oblique asymptotes for #(sqrt(x^4 + 6x^2 + 9)) / (2x^2 - 10)#?

##### 1 Answer

Mar 21, 2018

Vertical asymptotes are

#### Explanation:

Vertical asymptotes are given by putting denominator as

or

this is so as when

For horizontal asymptote, observe that degree of numerator and denominator both is

as

=

=

Hence, horizontal asymptote is

There is no oblique or slnting asymptote. For this we should have degree of numerator just one more than that of denominator.

graph{sqrt(x^4+6x^2+9)/(2x^2-10) [-10, 10, -5, 5]}