When no domain is given in the definition of a vector-valued function, it is to be understood that the domain is the set of all (real) scalars for which the rule for the function makes sense and gives real vectors (i.e., vectors with real components). Find the domain of each of the following vector-valued functions:
a.

b.

(|| ]Denotes the greatest integer function.)
c.

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r(1) = [12] i- V20-1 j + 3k