Question

What is the domain of this function?

Answer 1

That would be 1 =< x < infinity.

That is the last option.

Answer 2

`-\infty<x<\infty`

Explanation:

We have been given a function . We are asked to find the domain of our given function.

`y=\sqrt[3]{x-1}`

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
`(-\infty,\infty)` and option A is the correct choice.