Define and . Determine whether the composite function is continuous at and state the…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Define

p(x)=\begin{cases}-1,&x<0\\1,&x\ge0\end{cases}

and

q(u)=u+2

. Determine whether the composite function

r(x)=q(p(x))

is continuous at

x=0

and state the reason for your answer in one sentence.