Find the inverse:
`f\left(x\right)=\sqrt[3]{x+6}`
To find the inverse of a function, we swap the roles of x and y and then solve for y.
So, let's swap x and y in the function f(x):
y = & #8731; (x + 6)
Now, solve for x:
y^3 = x + 6
x = y^3 - 6
Therefore, the inverse of the function f(x) = & #8731; (x+6) is:
f^(-1)(x) = x^3 - 6