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Functions question

2021 · 18 Mar · Shift 1 · Q34
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  5. /2021 · 18 Mar · Shift 1 · Q34

Functions question

2021 · 18 Mar · Shift 1 · Q34

JEE MainMathematicsFunctionsMCQ+4 / −1
The real valued function f(x)=cos⁡ec−1xx−[x]f(x) = {{\cos e{c^{ - 1}}x} \over {\sqrt {x - [x]} }}f(x)=x−[x]​cosec−1x​, where [x] denotes the greatest integer less than or equal to x, is defined for all x belonging to :
  1. A
    all real except integers
  2. B
    all non-integers except the interval [ −-− 1, 1 ]
  3. C
    all integers except 0, −-− 1, 1
  4. D
    all real except the interval [ −-− 1, 1 ]
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