Let and be functions defined by f ( x ) = [ x 2 – 3] and g ( x ) = | x | f ( x ) + |4 x –…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let 
and 
be
functions defined by f (x) = [x2 – 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∈ R. Then
and be functions defined by f (x) = [x2 – 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
- f is discontinuous exactly at three points in
- f is discontinuous exactly at four points in
- g is not differentiable exactly at four points in
- g is not differentiable exactly at five points in
Answer
(D) g is not differentiable exactly at five points in
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