Replace with .

Interchange the variables.

Rewrite the equation as .

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Simplify each term.

Multiply by .

Factor out of .

Separate fractions.

Divide by .

Divide by .

Divide 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 .

Multiply by .

Multiply by .

Multiply by .

Combine the opposite terms in .

Subtract from .

Add and .

Since , is the inverse of .

Find the Inverse Function f(x)=4.38x+40000