# Find the Inverse – cube root of 3x-6+12 Interchange the variables.
Solve for .
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 .
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 .
Simplify .
Use the Binomial Theorem.
Simplify each term.
Apply the product rule to .
Raise to the power of .
Apply the product rule to .
Raise to the power of .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Move all terms not containing to the right side of the equation.
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 .
Simplify each term.
Move the negative in front of the fraction.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
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.
Divide by .
Divide by .
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 .
Simplify each term.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Simplify .
Use the Binomial Theorem.
Simplify each term.
Apply the product rule to .
Raise to the power of .
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.
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Apply the product rule to .
Raise to the power of .
Multiply by .
Rewrite as .
Apply the product rule to .
Raise to the power of .
Multiply by .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Apply the distributive property.
Simplify.
Multiply .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Apply the product rule to .
Raise to the power of .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Apply the distributive property.
Multiply by .
Multiply by .
Simplify by adding terms.
Combine the opposite terms in .
Subtract from .
Subtract from .
Combine the opposite terms in .