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 .

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

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.

Simplify the numerator.

Combine and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Multiply by .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Combine and .

Reduce the expression by cancelling the common factors.

Reduce the expression by cancelling the common factors.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Combine the opposite terms in .

Subtract from .

Add and .

Since , is the inverse of .

Find the Inverse h(x)=3/4x+12