Let , and . How many distinct real numbers must be excluded from the domains of the…

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

Problem

Let

p(x)=\dfrac{1}{x^2-7x+10}

q(x)=\dfrac{x}{x^2-9}

and

r(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