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Definition: A rational function is a function of the form f(x) = p(x) / q(x) where p(x) and q(x) are polynomials.
Source: "Precalculus" by David H. Collingwood, K. David Prince, and Matthew M. Conroy at University of Washington
Example: f(x) = x/(3x + 4) or g(x) = (x^2 + 1)/(3x - 5) or h(x) = (4x^5 - 4x^2 - 8)/(x^3 + x^2 - x + 1) or j(x) = x^6/(x^8 + 5x - (1/2))