What is the domain of the function defined by
(A) -1/4 ≤ x ≤ 1/4
(B) -1/4 ≤ x or x ≥ 1/4
(C) x ≥ 0
(D) All Real Numbers
Choice D is correct.
The radicand in a cube root can either be positive of negative.
Therefore, there is no restriction on the value of x.
So, the domain of the function defined by
is the set of all real numbers.
It is different from radicand in a square root.
If the problem would have asked for the domain of
should be greater than or equal to zero.
is not defined for any real number.