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Which of the following statements is alw...

Which of the following statements is always true? ([.] represents the greatest integer function. a) If f(x) is discontinuous then `|f(x)|` is discontinuous b) If `f(x)` is discontinuous then f(|x|) is discontinuous c) f(x)=[g(x)] is discontinous when `g(x) is an integer d) none of these

A

if f(x) is discontinuous then |f(x)| is discontinuous

B

if f(x) is discontinuous , then f(|x|) is discontinuous .

C

f(x) =[g(x) ] is discontinuous , when g(x) is an integer

D

none of these

Text Solution

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The correct Answer is:
D
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