# Find the Inverse 2(x-2)^2=8(7+y) Rewrite the equation as .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Subtract from both sides of the equation.
Interchange the variables.
Solve for .
Rewrite the equation as .
Simplify the left side.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Multiply by .
Multiply both sides of the equation by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Add to both sides of the equation.
Take the root of each side of the to set up the solution for
Remove the perfect root factor under the radical to solve for .
Simplify the right side of the equation.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Add to both sides of the equation.
Next, use the negative value of the to find the second solution.
Add to both sides of the equation.
The complete solution is the result of both the positive and negative portions of the solution.
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 the opposite terms in .
Simplify each term.
Rewrite as .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Combine the opposite terms in .     