A domain is a set of input values for which a function is defined and for which the function produces a meaningful output. In other words, a domain is the set of all possible input values that a function can take.
For example, if we have a function f(x) = x^2, the domain of this function would be all real numbers, since any real number can be plugged into the function and produce a meaningful output (the square of that number).
On the other hand, if we have a function g(x) = 1/x, the domain of this function would be all real numbers except 0, since division by zero is undefined.
In some cases, the domain of a function may be defined explicitly, such as a function that only applies to certain values of x, or it may be defined implicitly, such as a function that is defined only for certain values of x that satisfy certain conditions.
In summary, a domain of a function is a set of input values for which the function is defined and produces meaningful output. It is important to note that the domain can be specified explicitly or implicitly based on the function and its conditions.
