The rational function is defined for all real except at certain excluded values

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The rational function h(x)=2x(x2−5x+6)(x+4)h(x)=\dfrac{2x}{(x^2-5x+6)(x+4)} is defined for all real xx except at certain excluded values. Which of the following lists all such excluded values? (a) {2, 3, 4}\{2,\,3,\,4\} (b) {0, 2, 3, −4}\{0,\,2,\,3,\,-4\} (c) {−4, 2, 3}\{-4,\,2,\,3\} (d) {2, 3}\{2,\,3\}

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