Interchange the variables.

Rewrite the equation as .

Solve for .

Multiply each term by and simplify.

Multiply each term in by .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify .

Apply the distributive property.

Reorder.

Move to the left of .

Rewrite using the commutative property of multiplication.

Add to 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 .

Combine the numerators over the common denominator.

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Remove parentheses.

Multiply the numerator and denominator of the complex fraction by .

Multiply by .

Combine.

Apply the distributive property.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify the numerator.

Factor out of .

Factor out of .

Factor out of .

Combine and .

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

Combine the numerators over the common denominator.

Rewrite in a factored form.

Apply the distributive property.

Multiply by .

Multiply by .

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from .

Add and .

Add and .

Simplify the denominator.

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from .

Add and .

Add and .

Reduce the expression by cancelling the common factors.

Factor out of .

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 (3x-8)/(7-x)