For the function

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

Problem

For the function

g(x)=\dfrac{2x^{2}-3x-2}{x^{2}-4}

, the set of all real numbers at which

g

is discontinuous is (a)

\{-2\}

(b)

\{-2,\,2\}

(c)

\{-2,\,2,\,-\dfrac12\}

(d)

\{-4,\,4\}