If the domain of the function is not given, then the set of values of the independent variable for which the expression is defined is called the: IMPLIED DOMAIN.
The domain of a function is the set of all the values of the independent variable which can serve as an input to the function such that the function results in a number in its range and does not become undefined.
Sometimes a function can be defined but its domain is not explicitly stated. In order to work with that function in such a condition, the set of all real numbers for which the function is defined is considered as the implied domain. Implied domain is the largest subset of real numbers for which the function is valid.
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