Interchange the variables.

Rewrite the equation as .

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.

Move to the left of .

Rewrite as .

Multiply by .

Take the square root of both sides of the equation to eliminate the exponent on the left side.

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.

Next, use the negative value of the to find the second solution.

The complete solution is the result of both the positive and negative portions of the solution.

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Apply the distributive property.

Multiply by .

Add and .

Add and .

Pull terms out from under the radical, assuming positive real numbers.

Since , is the inverse of .

Find the Inverse -x^2+6