# How do I find the domain of #y=1/x#?

##### 1 Answer

Oct 7, 2014

This is a rational function.

The **denominator** of a rational function **cannot** be

If the **denominator** is **undefined** .

If we can find the value(s) that would result in the denominator becoming

This is accomplished by setting the expression in the denominator equal to

**Undefined**

In this example the expression,

This means that the **only** value that the **denominator** , **cannot** assume is

The interval notation for the domain is