Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
and 
be functions defined by f(x) = [x 2 - 3] and g(x) = |x| f(x) + |4x – 7| f(x), where [y] denotes the greatest integer less than or equal to y for y e R. Then
A
f is discontinuous exactly at three points in 
B
f is discontinuous exactly at four points in 
C
g is NOT differentiable exactly at four points in 
D
g is NOT differentiable exactly at five points in 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(B, C)
f(x)=[x 2 -3]
Which is discontinuous at x = 1, 
, 2
g(x) = f(x)[|x| + |4x-7|]
f(x) is non differentiable at
x=l, 
& |x| + |4x – 7| is non differentiable at x = 0, 
But f(x) = 0 
Hence g(x) is non differentiable 
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