domains of operators

In mathematics, the domain of an operator (or function) refers to all the inputs for which the operator produces a valid output. For example, if an operator is defined as dividing numbers, its domain includes all numbers except those that would cause division by zero. More generally, the domain specifies the set of elements where the operator is applicable and meaningful. Understanding the domain is essential because it clarifies where the operator can be used without resulting in undefined or problematic results.