Answer:
1. x ≥ 0
2. x ≥ -2
3. x ≥ 2
4. x ≤ 2
5. x ≤ 0
6. All real numbers
Explanation:
Domain of square function:
Suppose we have a square function in the following format:
![f(x) = \sqrt[n]{g(x)}](https://img.qammunity.org/2021/formulas/mathematics/college/8erygjarkejiotlizc01tzrj3qph44wn35.png)
If n is even, the domain of f(x) is:

Otherwise, if n is odd, the domain of f(x) is all real numbers.
1. S(x) = √x
If n does not appear is that it is 2.
g(x) = x
So the domain is:

2. H(x) = √2+x
g(x) = 2 + x
So


3. Z(x) = √x-2
g(x) = x - 2


4. Q(x) = √2-x
g(x) = 2 - x


Multiplying by -1, everything

5. V(x) = √-x
g(x) = -x
Then

Multiplying by -1

6. N(x) = ^3√2-x
Cubic root(odd number), so all real numbers.