# Precalculus Examples

, ,

Set up the composite result function.

Evaluate by substituting in the value of into .

Apply the product rule to .

One to any power is one.

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

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

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

Simplify the right side of the equation.

Rewrite as .

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

is equal to .

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

Interval Notation:

Set-Builder Notation: