# Finite Math Examples

Step 1

Write as an equation.

Step 2

Interchange the variables.

Step 3

Rewrite the equation as .

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

Step 4

Replace with to show the final answer.

Step 5

To verify the inverse, check if and .

Evaluate .

Set up the composite result function.

Evaluate by substituting in the value of into .

Remove parentheses.

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

Evaluate .

Set up the composite result function.

Evaluate by substituting in the value of into .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Since and , then is the inverse of .