## Domains of Rational Expressions

**Answer:**

Consider the rational expression:

To factor the expression, **factor** the numerator and denominator completely.

Given rational expression

Rewrite the numerator

Use

So, the factored expression is.

The **domain** of an expression is the **set** of **all real numbers** for which the expression is defined.

The rational expression is undefined when the denominator is zero, because division by zero is undefined. To find the **domain** of rational expression **set** denominator equal to zero and exclude those value from the domain.

So, the **excluded value** is.

Therefore, the **domain** of rational expression is.

Consider the rational expression:

To factor the expression, **factor** the numerator and denominator completely.

Given rational expression

Break middle term of numerator

Group pairs

Factor each pair

So, the factored expression is.

The rational expression is undefined when the denominator is zero, because division by zero is undefined. To find the **domain** of rational expression **set** denominator equal to zero and exclude those value from the **domain**.

So, the **excluded value** isand.

Therefore, the **domain** of rational expression is.

**Click following link to download this document**

Domains of Rational Expressions.docx