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AP EAMCET202119 Aug 2021Evening ShiftMathematicsFunctionsActual

The domain of the function f ( x ) = 1 [ x ] - 1 , where [ x ] is greatest integer function of x is

Options

  1. AR − ( 1 , 2 )
  2. BR − 1
  3. CR − 0 , 1
  4. DR − [ 1 , 2 )

Correct answer

D. R − [ 1 , 2 )

Step-by-step solution

Given that, f ( x ) = 1 [ x ] - 1 Domain = R - points at which   f ( x )  is not defined Now, f ( x ) will be undefined, when x - 1 = 0 ⇒ x = 1 Now, all the values for which the greatest integer function is 1 . ⇒ x ∈ [ 1 ,   2 ) Therefore, Domain of f ( x ) is R - [ 1 ,   2 )

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