# Find the Inverse g(x)=1/3* cube root of 2x+5 Replace with .
Interchange the variables.
Solve for .
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.
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 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 .
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

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