Question 392567
~=square root of


f(x)=x^(3)_f^(-1)(a)

To find the inverse of the function, interchange the variables and solve for f^(-1)(x).
x=f^(-1)(x)^(3)

Since f^(-1)(x) is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
f^(-1)(x)^(3)=x

Take the cube root of both sides of the equation to eliminate the exponent on the left-hand side.
f^(-1)(x)=~3:(x)

Evaluate the inverse f^(-1) at x=a.
f^(-1)(a)=~3:((a))

Simplify the function.
f^(-1)(a)=~3:(a)