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If the domain is infinite, it is not possible to list the function.
The domain of a function is simply the x values of the function
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
The domain is the possible values that can be input into the function and produce a real number output.
It would appear that the domain is so very limited that the function may not be seen!