# Precalculus Examples

, ,

Step 1

Set up the composite result function.

Step 2

Evaluate by substituting in the value of into .

Step 3

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

Step 4

Step 4.1

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

Step 4.2

Simplify .

Step 4.2.1

Rewrite as .

Step 4.2.2

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

Step 4.2.3

Plus or minus is .

Step 5

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

Interval Notation:

Set-Builder Notation:

Step 6