In mathematics, the domain of a function is the set of all possible input values for which the function is defined. In other words, it is the set of all values that can be plugged into the function to produce a valid output.
For example, consider the function f(x) = x^2. The domain of this function is all real numbers, because any real number can be squared to produce another real number.
However, some functions may not be defined for certain input values. For example, consider the function g(x) = 1/x. The domain of this function is all real numbers except for x = 0, because dividing by zero is undefined.
The domain of a function is important because it determines the set of values for which the function makes sense and can be used to solve problems. It is often represented using interval notation, which specifies the range of valid input values using a combination of brackets and parentheses.
In summary, the domain of a function is the set of all possible input values for which the function is defined, and it determines the range of values for which the function can be used to solve problems.
