Answer:
No, they're not.
Explanation:
To check if two functions are inverses of each other, we need to make sure that when we do one function and then the other function, we end up with the starting number. And we also need to make sure that when we do the second function and then the first function, we still end up with the starting number.
For the functions f(x) = 1/8x^3 and g(x) = 2x^(1/3), we tried doing f(g(x)) and g(f(x)) and found out that they are not equal to x for all values of x. So, f(x) and g(x) are not inverses of each other.