Consider the function ,

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

Problem

Consider the function

f(x)=\dfrac{2x+1}{x-3}

x\neq3

. The set of all possible values of

f(x)

is (a)

\mathbb R\setminus\{-1\}

(b)

(-\infty,-\tfrac13]\cup(1,\infty)

(c)

\mathbb R\setminus\{2\}

(d)

\mathbb R\setminus\{0\}