Replace with .

Interchange the variables.

Rewrite the equation as .

Combine and .

Subtract from both sides of the equation.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify .

Apply the distributive property.

Combine and .

Multiply .

Combine and .

Multiply by .

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 terms.

Simplify each term.

Simplify the numerator.

Combine and .

Write as a fraction with a common denominator.

Combine the numerators over the common denominator.

Combine and .

Reduce the expression by cancelling the common factors.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Divide by .

Combine the numerators over the common denominator.

Simplify the numerator.

Subtract from .

Add and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Since , is the inverse of .

Find the Inverse Function f(x)=3/2x+1