Answer:
[tex]-\infty<x<\infty[/tex]
Step-by-step explanation:
We have been given a function . We are asked to find the domain of our given function.
[tex]y=\sqrt[3]{x-1}[/tex]
We know that domain of a function is all values of x for which our function is defined.
Upon looking at our given function, we can see that our given function is a cube root function. We know that a cube root function is defined for all value of x as it is possible for three negatives to equal a negative.
Therefore, the domain of our given function is all real value of x that is [tex](-\infty,\infty)[/tex] and option A is the correct choice.
