Determine the value of for which the function is undefined only at .

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

Problem

Determine the value of

k

for which the function

f(x)=\dfrac{x+2}{x^{2}+kx+k}

is undefined only at

x=-2

. (a)

k=0

(b)

k=4

(c)

k=-4

(d)

k=2