Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let f, g : R 
R be functions defined by
and
where [x] denote the greatest integer less than or equal to x. Then, the function fog is discontinuous at exactly :
Text Solution
Verified by ExpertsThe correct answer is:
B
Check continuity at x = 0 and also check continuity at those x where g(x) = 0
g(x) = 0 at x = 0, 2
fog (0 + ) =-1
fog(0) = 0
Hence, discontinuous at x = 0
fog(2 + ) = l
fog(2 - ) = -l
Hence, discontinuous at x = 2
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