For , defined for all permissible real , the range of…

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

Problem

For

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

, defined for all permissible real

x

, the range of

g

is (a)

\mathbb R\setminus\{1\}

(b)

\mathbb R\setminus\left\{1,\dfrac{5}{2}\right\}

(c)

\mathbb R\setminus\{1,3\}

(d)

\mathbb R\setminus\left\{\dfrac{5}{2}\right\}