Question

Question #f8d17

Answer 1

First of all, you have put this question in the wrong section. The answer for the domain is `x in RR` for `f(x)=(x-4)^(1/3)`.

This is a different case than `f(x)=sqrt(x-4)` because a real number times itself can never be negative, eg. `x*x!=-2`. This is always the case with even roots.

However, it is not the case with odd roots. We can find an `x` such that `x*x*x=-8`, the answer is `x=-2`. Therefore the domain is not restricted for odd roots.

In general, for odd roots of positive values will have a positive answer and odd roots of negative values will have a negative answer.