Consider with its natural domain

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider p(x)=5−xx−1p(x)=\dfrac{\sqrt{5-x}}{x-1} with its natural domain. On which of the following intervals is pp continuous? (a) (−∞,1)∪(1,5)(-\infty,1)\cup(1,5) (b) (−∞,5](-\infty,5] (c) (−∞,1)∪(1,5](-\infty,1)\cup(1,5] (d) (1,5](1,5]

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