In mathematics, the domain of a function is the set of all possible input values (also known as independent variables) for which the function is defined, and the range of a function is the set of all possible output values (also known as dependent variables) that the function can produce.
For example, consider the function f(x) = 1/x. In this case, the domain is all real numbers except for x=0, because the function is not defined for that value of x (division by zero is undefined). The range of this function is all real numbers except for 0, because every non-zero value of x produces a non-zero value of f(x).
In general, to find the domain and range of a function, you need to determine the set of all possible input values and the set of all possible output values, respectively. It's important to note that the domain and range of a function can vary depending on the specific function you're working with, and sometimes the domain and range may need to be restricted in order to make the function well-defined.
