Which of the following functions is continuous for all real numbers?

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

Problem

Which of the following functions is continuous for all real numbers? (a) r(x)=x2−9x−3r(x)=\dfrac{x^{2}-9}{x-3} (b) p(x)=ln⁡(x2−1)p(x)=\ln(x^{2}-1) (c) h(x)=ex2−7h(x)=e^{x^{2}}-7 (d) f(x)=2x+1x−3f(x)=\dfrac{2x+1}{x-3}

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