# Precalculus Examples

Step 1

Set the denominator in equal to to find where the expression is undefined.

Step 2

Step 2.1

Add to both sides of the equation.

Step 2.2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

Step 2.3

Simplify .

Step 2.3.1

Rewrite as .

Step 2.3.2

Pull terms out from under the radical, assuming positive real numbers.

Step 2.4

The complete solution is the result of both the positive and negative portions of the solution.

Step 2.4.1

First, use the positive value of the to find the first solution.

Step 2.4.2

Next, use the negative value of the to find the second solution.

Step 2.4.3

The complete solution is the result of both the positive and negative portions of the solution.

Step 3

The domain is all values of that make the expression defined.

Interval Notation:

Set-Builder Notation:

Step 4