# Find the Inverse (5x)/(8x-3)

Interchange the variables.
Solve for .
Multiply the equation by .
Apply the distributive property.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Solve for .
Subtract from both sides of the equation.
Add to both sides of the equation.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Solve for and replace with .
Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Combine and .
Simplify the denominator.
Multiply .
Combine and .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Rewrite in a factored form.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Multiply by .
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Since , is the inverse of .
Find the Inverse (5x)/(8x-3)