Replace with .

Interchange the variables.

Rewrite the equation as .

Multiply both sides of the equation by .

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

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.

Apply the product rule to .

Raise to the power of .

Solve for .

Subtract from 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 .

Move the negative in front of the fraction.

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Simplify terms.

Simplify each term.

Simplify the numerator.

Apply the product rule to .

Combine exponents.

Rewrite as .

Rewrite as .

Raise to the power of .

Apply the power rule and multiply exponents, .

Multiply by .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Use the power rule to combine exponents.

Subtract from .

Anything raised to is .

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.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Subtract from .

Add and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Since , is the inverse of .

Find the Inverse g(x)=1/3* cube root of 2x+5