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Let   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
  • 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 
Correct answer is option 'B,C'. Can you explain this answer?
Most Upvoted Answer
Let be functions defined by f(x) = [x2 - 3] and g(x) = |x| f(x) + |4x-...
f(x )= [x2 -3]
Which is discontinuous at x = 1, 
g(x) = f(x) [|x| + |4x - 7|]
f(x) is non differentiable at

& |x| + |4x - 7| is non differentiable at

Hence g(x) is non differentiable  
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Let 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 fory ∈ R . Thena)f is discontinuous exactly at three points inb)f is discontinuous exactly at four points inc)g is NOT differentiable exactly at four points in d)g is NOT differentiable exactly at five points inCorrect answer is option 'B,C'. Can you explain this answer?
Question Description
Let 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 fory ∈ R . Thena)f is discontinuous exactly at three points inb)f is discontinuous exactly at four points inc)g is NOT differentiable exactly at four points in d)g is NOT differentiable exactly at five points inCorrect answer is option 'B,C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let 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 fory ∈ R . Thena)f is discontinuous exactly at three points inb)f is discontinuous exactly at four points inc)g is NOT differentiable exactly at four points in d)g is NOT differentiable exactly at five points inCorrect answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let 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 fory ∈ R . Thena)f is discontinuous exactly at three points inb)f is discontinuous exactly at four points inc)g is NOT differentiable exactly at four points in d)g is NOT differentiable exactly at five points inCorrect answer is option 'B,C'. Can you explain this answer?.
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