ANSWER
Domain is all real numbers.
EXPLANATION
We want to find the domain of the function,
[tex]f(x) = \sqrt[3]{x} [/tex]
The domain of this function refers to all values of x that will make the function defined.
When we plug in all real values into the above function, there will be a corresponding functional value.
Therefore the domain is all real numbers.
Or
[tex]x \in \: R[/tex]
Or
[tex]( - \infty ,+ \infty)[/tex]