The domain of a rational function

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

Problem

f(x)=\dfrac{P(x)}{Q(x)}

, where

P(x)

and

Q(x)

are polynomials and

Q(x)

is not the zero polynomial, is (a) all real numbers such that

P(x)\neq0

(b) all real numbers (c) all real numbers such that

Q(x)\neq0

(d) all real numbers such that

Q(x)=0