Replace with .

Interchange the variables.

Rewrite the equation as .

Subtract from both sides of the equation.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify .

Apply the distributive property.

Multiply by .

Take the 4th 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.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

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 .

Simplify by subtracting numbers.

Subtract from .

Add and .

Combine and .

Reduce the expression by cancelling the common factors.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Divide by .

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

Since , is the inverse of .

Find the Inverse f(x)=(x^4)/7+27