Mathematics

Mathematics

Problem

Let p(x)=1x2−7x+10p(x)=\dfrac{1}{x^2-7x+10}, q(x)=xx2−9q(x)=\dfrac{x}{x^2-9} and r(x)=x−2x2−2x−15r(x)=\dfrac{x-2}{x^2-2x-15}. How many distinct real numbers must be excluded from the domains of the three functions taken together? a) 6 b) 3 c) 4 d) 5

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