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Let f(x) = [2x2 + 1] and g(x)   where [t] is the greatest integer ≤ t. Then, in the open interval (-1, 1), the number of points where fog is discontinuous is equal to _________.
    Correct answer is '62'. Can you explain this answer?
    Most Upvoted Answer
    Let f(x) = [2x2 + 1] and g(x) where [t] is the greatest integer ≤ t...
    f(g(x)) = [2g2(x)] + 1

    ∴ fog is discontinuous whenever 2(2x - 3)2 or 2(2x + 3)2 belongs to an integer except x = 0.

    So, total = 62
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    Let f(x) = [2x2 + 1] and g(x) where [t] is the greatest integer ≤ t. Then, in the open interval (-1, 1), the number of points where fog is discontinuous is equal to _________.Correct answer is '62'. Can you explain this answer?
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    Let f(x) = [2x2 + 1] and g(x) where [t] is the greatest integer ≤ t. Then, in the open interval (-1, 1), the number of points where fog is discontinuous is equal to _________.Correct answer is '62'. 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 f(x) = [2x2 + 1] and g(x) where [t] is the greatest integer ≤ t. Then, in the open interval (-1, 1), the number of points where fog is discontinuous is equal to _________.Correct answer is '62'. 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 f(x) = [2x2 + 1] and g(x) where [t] is the greatest integer ≤ t. Then, in the open interval (-1, 1), the number of points where fog is discontinuous is equal to _________.Correct answer is '62'. Can you explain this answer?.
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