A function has a jump discontinuity at and is continuous elsewhere

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

Problem

A function

p

has a jump discontinuity at

x=2

and is continuous elsewhere. Let

q(x)=p(\sqrt{x+2})

with domain

x\ge -2

. At which value of

x

must

q

be discontinuous? (a)

x=0

(b)

x=6

(c)

x=2

(d)

x=-2