Mathematics

Problem

Let

g(x)=\lfloor x-1.2 \rfloor

. Which one of the following correctly describes all its points of discontinuity? a) It is discontinuous at every

x=n

, where

n\in\mathbb{Z}

. b) It is discontinuous at every

x=n+1.2

, where

n\in\mathbb{Z}

. c) It is discontinuous only at

x=1.2

. d) It is discontinuous at every

x=n+1

, where

n\in\mathbb{Z}