Replace with .

Interchange the variables.

Rewrite the equation as .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Simplify .

Multiply by .

Factor out of .

Separate fractions.

Divide by .

Divide by .

Subtract from both sides of the equation.

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Simplify each term.

Multiply by .

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.

Apply the distributive property.

Multiply by .

Multiply by .

Apply the distributive property.

Multiply by .

Multiply .

Multiply by .

Multiply by .

Simplify by adding numbers.

Add and .

Add and .

Since , is the inverse of .

Find the Inverse f(x)=1.25(38-x)