Find the Inverse 6x^3+10

Math
Interchange the variables.
Solve for .
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Rewrite the equation as .
Subtract from both sides of the equation.
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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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.
Move the negative in front of the fraction.
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
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To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Multiply by .
Rewrite as .
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
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 .
Evaluate the exponent.
Simplify the numerator.
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Rewrite as .
Raise to the power of .
Simplify with factoring out.
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Combine using the product rule for radicals.
Reorder factors in .
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 the numerator.
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Subtract from .
Add and .
Multiply by .
Rewrite as .
Pull terms out from under the radical, assuming real numbers.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Since , is the inverse of .
Find the Inverse 6x^3+10

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