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Let f (x) =-1 +|x-2| and g (x) =1-|x| th...

Let `f (x) =-1 +|x-2| and g (x) =1-|x|` then set of all possible value (s) of for which (fog) (x) is discontinuous is:

A

{0,2}

B

{0,1,2}

C

{0}

D

an empty set

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The correct Answer is:
D
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