Consider . Which of the following lists all -values at which the graph of has a…

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

Problem

Consider r(x)=(x2−4x+3)(x−2)(x−1)(x−2)(x−3)r(x)=\dfrac{(x^{2}-4x+3)(x-2)}{(x-1)(x-2)(x-3)}. Which of the following lists all xx-values at which the graph of rr has a removable discontinuity? (a) x=2x=2 only (b) x=1,2,3x=1,2,3 (c) No removable discontinuities; the function is continuous for all real xx (d) x=1x=1 and x=3x=3

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