# 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.

Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.

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 .

Cancel the common factor.

Rewrite the expression.

Move the negative one from the denominator of .

Simplify the expression.

Multiply by to get .

Rewrite as .

Simplify each term.

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Simplify .

Multiply by to get .

Multiply by to get .

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 .

Simplify each term.

Apply the distributive property.

Simplify .

Write as a fraction with denominator .

Multiply and to get .

Multiply by to get .

Simplify .

Multiply by to get .

Write as a fraction with denominator .

Multiply and to get .

Simplify each term.

Divide by to get .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Simplify the expression.

Remove unnecessary parentheses.

Subtract from to get .

Add and to get .

Since , is the inverse of .