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Rational Function. A rational function is a function of the formWhere P and Q are polynomials and P(x) andQ(x) have no factor in common and Q(x) is notequal to zero.. Example. Consider . Find the domain and graph f.Solution: When the denominator x 4 = 0, we have x = ?4, so the only input that results in a denominator of 0 is ?4. Thus the domain is {x|x ? ?4} or (??, ?4) ? (?4, ?)..

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