Consider the function

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

Problem

Consider the function h(x)=x−1x2−9h(x)=\dfrac{\sqrt{x-1}}{x^{2}-9}. The function is continuous on which of the following sets? (a) (1,3)∪(3,∞)(1,3)\cup(3,\infty) (b) (1,∞)(1,\infty) (c) [1,3)∪(3,∞)[1,3)\cup(3,\infty) (d) (3,∞)(3,\infty)

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