Domain = ℝ - [-2, +2]
Normally, in set notation, the subtraction sign would be a backward slash, but Yahoo!Answer (or my computer) won't allow me to use it.
Here, the borders get a square bracket because they ARE part of the interval that must be removed.
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In the second function, you look for the same "problem areas":
1) You cannot divide by zero, therefore look for values of x that make the denominator equal to zero (these values of x will NOT be part of the domain)
2)You cannot take the square root of a negative number, therefore look for values of x that make the root act on a negative value. You will get an interval, which is NOT part of the domain.
(it is the same problem as a, but with different numbers)