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No. The set of x-values are the domain for only g. This will result in a set of images, which will be g(x). This set of g(x) values are the domain of f.
There is no largest since there are multidimensional domains. But you would rarely come across domains larger than:... quaternions, complex numbers (set denoted by C), real numbers (R).The set of real numbers can be divided into rational numbers (Q) and irrational numbers. The irrationals are a much larger domain than the rationals.Rationals can then be further divided into Integers (Z).The real numbers and all its subsets can be divided into negative and non-negative, or positive and non-positive subsets. [The difference between these two partitions is where 0 sits].Finally, a domain can consist of any subset of any of these sets.For example: the set {1, 2, 3, ... , 12} is the domain for Month numbers.Or the set {0.1, 0.2, 0.4, 1, 5, 10 and a few other values} are the domain, in kilometres, for running races.
set of domains set of relations operation on relations integrity rules
Any set that can be mapped to the rational numbers or any subset of it.
Many infinite sets appear in mathematics: the set of counting numbers; the set of integers; the set of rational numbers; the set of irrational numbers; the set of real numbers; the set of complex numbers. Also, certain subsets of these, such as the set of square numbers, the set of prime numbers, and others.
No, it is not.
real numbers
In a certain sense, the set of complex numbers is "larger" than the set of real numbers, since the set of real numbers is a proper subset of it.
the set of real numbers
All of the natural numbers.
The set of integers, the set of rational numbers, the set of real numbers, the set of complex numbers, ...
The set of numbers which 3 does not belong is the set of even numbers.