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Created page with "== Definition and Basic Properties == A '''rational function''' is a type of mathematical function that can be expressed as the quotient of two polynomials. Formally, a rational function \( R(x) \) is defined as: \[ R(x) = \frac{P(x)}{Q(x)} \] where \( P(x) \) and \( Q(x) \) are polynomials in \( x \), and \( Q(x) \neq 0 \). The domain of a rational function is the set of all real numbers except those that make the denominator zero. Rational functions are a su..."