Math help please!!!?

a,d,f are in this domain. (Also you're missing a c option there.)

Explaination/Theory.
D1: (-3,0) means that the numbers between -3 and 0 are included in the domain.
But also observe this.
D2: [-3,0) not only means that the numbers between -3 and 0 are included in the domain but also -3 is included in this domain.

D3: [4,5) All numbers between 4 and 5 are included in this domain. 4 is also included in this domain because of this "[" symbol.
5 is not included in this domain because of this ")" symbol.

When detecting domains of different functions, infinity has always a ")" or "(" next to it. ALWAYS.

D4:(5,+infinity) means that ALL NUMBERS above 5 are included in this domain. BUT NOT 5.

So 5,432427834284837 is included in this domain, along with 10, 325852, 412482484, 999999999999999 etc.

BE CAREFUL.
Now let's return to our domain, D:[-3,0) U [4,5)U (5,+Infinity)
Are 1,2,3 included in this domain? There're not.
Neither is 0,53252 or 3,064.

Because our domain says so:

We want the number -3 and the numbers between -3 and 0. But not 0. Also the number 4 and the numbers between 4 and 5. But not 5. Last, ALL the numbers above 5.

So ],[ is included.
),( is NOT included.
Infinity has ),( but it's side ALWAYS, whether it is "(-infinity" or "+infinity)".
U "unifies" smaller domains together.
{Number}: },{ are used if you want to included only one number in your domain, that is not already included! I advise you ask your teacher whether you will use this or not.

Sorry, if any of these terms are incorrect, I'm greek. But the theory is correct.