# How to find the asymptotes of #f(x)=2 - 3/x^2#?

##### 1 Answer

Vertical asymptote is

Horizontal asymptote is

No oblique asymptote.

#### Explanation:

An ASYMPTOTE is a line that approches a curve, but NEVER meets it.

To find the **vertical asymptote** , put the denominator = 0 (because 0 cannot divide any number) and solve. This is where the function cannot exist.

Given below is the step-by-step walk through:

The curve can never touch

To find the **horizontal asymptote** , compare the degree of the expressions in the numerator and the denominator.

First, lets re-write the expression so we have one a common denominator.

Now we can compare the degrees of the numerator and the denominaotr.

The degree of the numerator = 2 and the degree of the denominator = 2.

Since the degrees are equal, the horizontal asymptote

The **oblique asymptote** is a line of the form **y = mx + c**.

Oblique asymptote exists when the **degree of numerator = degree of denominator + 1**

Here, the degree of the numerator = degree of the denominator = 2.

Therefore, the given function has no oblique asymptotes.