Interchange the variables.

Rewrite the equation as .

To remove the radical on the left side of the equation, cube both sides of the equation.

Simplify each side of the equation.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Solve for .

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Combine the numerators over the common denominator.

Simplify the numerator.

Add and .

Add and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Since , is the inverse of .

Find the Inverse cube root of 3x-7