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Let g be the greatest integer function. ...

Let g be the greatest integer function. Then the function `f(x)=(g(x))^(2)-g(x)` is discontinuous at

A

all integers

B

all integers except 0 and 1

C

all integers except 0

D

all integers except 1

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Verified by Experts

The correct Answer is:
D
`f(x)=(g(x))^(2)-g(x)`
Given, g(x) is greatest integer function. So, g(x)=[x].
`:.f(x)=[x]^(2)-[x]`
f(x) is discontinuous at every integer except x=1
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