What is the domain of a rational function?

The domain of a rational function is the set of all real numbers that can be input into the function without causing a division by zero. In other words, it is the set of all values that x can take on in the function. To find the domain of a rational function, you need to identify any values of x that would make the denominator of the function equal to zero, as dividing by zero is undefined in mathematics. Once those values are excluded from the possible inputs, the remaining set of real numbers is the domain of the rational function.
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