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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1
Let f:X→[1,27]f: X \rightarrow[1,27] be a function by f(x)=5sin⁡xf(x)=5 \sin x +12cos⁡x+14+12 \cos x+14. The set XX so that ff is one-one and onto is
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Correct option: D
None of these
Option D (None of these) is correct because the function is not one-to-one due to its periodic nature, even though its range is within [1, 27].

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