JEE Main 2022 Mathematics question
Let and g(x) = 2x − 3 for x < 0 and 2x + 3 for . Where [t] is the greatest integer . Then, in the open interval (−1, 1), the number of points where f∘g is discontinuous is equal to .
Answer: 62
Solution
for x < 0 and for . For x (−1, 0), 2x − 3 (−5, −3) so (18, 50), and the greatest integer function jumps at each point where this equals an integer 19, 20, …,
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