# Finite Math Examples

Replace with .

Interchange the variables.

Since is on the right side of the equation, switch the sides so it is on the left side of the equation.

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

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

Simplify .

Combine the numerators over the common denominator.

Rewrite as .

Multiply by .

Simplify.

Combine.

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Move the exponent into the radical in .

Raise to the power of .

Combine using the product rule for radicals.

Reorder factors in .

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Simplify the numerator.

Remove parentheses.

Subtract from .

Factor.

Add and .

Remove unnecessary parentheses.

Multiply by .

Rewrite as .

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

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Since , is the inverse of .