Find the Inverse – cube root of 3x-6+12

Math
Interchange the variables.
Solve for .
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Rewrite the equation as .
Subtract from both sides of the equation.
Multiply each term in by
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Multiply each term in by .
Multiply .
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Multiply by .
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Simplify each term.
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Move to the left of .
Rewrite as .
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To remove the radical on the left side of the equation, cube both sides of the equation.
Simplify each side of the equation.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Solve for .
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Simplify .
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Use the Binomial Theorem.
Simplify each term.
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Apply the product rule to .
Raise to the power of .
Apply the product rule to .
Raise to the power of .
Multiply by .
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Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify each term.
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Move the negative in front of the fraction.
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Divide by .
Solve for and replace with .
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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.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Simplify .
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Use the Binomial Theorem.
Simplify each term.
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Apply the product rule to .
Raise to the power of .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Apply the distributive property.
Multiply by .
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Multiply by .
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Apply the product rule to .
Raise to the power of .
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Raise to the power of .
Multiply by .
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Add and .
Cancel the common factor of and .
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Factor out of .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Apply the distributive property.
Simplify.
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Multiply .
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Multiply by .
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply .
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Multiply by .
Multiply by .
Raise to the power of .
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Use the power rule to combine exponents.
Add and .
Rewrite as .
Apply the product rule to .
Raise to the power of .
Multiply by .
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Subtract from .
Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Apply the distributive property.
Multiply by .
Multiply by .
Simplify by adding terms.
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Combine the opposite terms in .
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Add and .
Add and .
Subtract from .
Add and .
Add and .
Add and .
Subtract from .
Combine the opposite terms in .
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Add and .
Add and .
Since , is the inverse of .
Find the Inverse – cube root of 3x-6+12


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