rational function

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In real analysis, a rational function is a real function f such that, for x in the domain, f(x)=g(x)/h(x), where g(x) and h(x) are polynomials, which may be assumed to have no common factor of degree greater than or equal to 1. The domain is usually taken to be the whole of R, with any zeros of the denominator h(x) omitted.

Subjects: Mathematics.

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