Question Function Find the inverse Evaluate the derivative Find the domain Load more f−1(q)=234q Evaluate p=2q3Interchange q and y q=2y3Swap the sides of the equation 2y3=qDivide both sides 22y3=2qDivide the numbers y3=2qTake the 3-th root on both sides of the equation 3y3=32qCalculate y=32qSimplify the root More Steps Evaluate 32qTo take a root of a fraction,take the root of the numerator and denominator separately 323qMultiply by the Conjugate 32×3223q×322Calculate 23q×322Calculate More Steps Evaluate 3q×322The product of roots with the same index is equal to the root of the product 3q×22Calculate the product 322q 2322qCalculate 234q y=234qSolution f−1(q)=234q Show Solution Solve the equation q=234p Evaluate p=2q3Swap the sides of the equation 2q3=pDivide both sides 22q3=2pDivide the numbers q3=2pTake the 3-th root on both sides of the equation 3q3=32pCalculate q=32pSolution More Steps Evaluate 32pTo take a root of a fraction,take the root of the numerator and denominator separately 323pMultiply by the Conjugate 32×3223p×322Calculate 23p×322Calculate More Steps Evaluate 3p×322The product of roots with the same index is equal to the root of the product 3p×22Calculate the product 322p 2322pCalculate 234p q=234p Show Solution Graph