# Precalculus 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.

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Simplify the left side of the equation by cancelling the common factors.

Reduce the expression by cancelling the common factors.

Factor out of .

Move the negative one from the denominator of .

Rewrite as .

Simplify each term.

Move the negative in front of the fraction.

Move the negative in front of the fraction.

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Combine the numerators over the common denominator.

Simplify the numerator.

Factor out of .

Rewrite as .

Factor out of .

Add and .

Factor.

Add and .

Remove unnecessary parentheses.

Multiply by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Since , is the inverse of .