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AP EAMCET202120 Aug 2021Evening ShiftMathematicsFunctionsActual

If f ' ' is the greatest integers function defined on R as f x = x and g ' ' is the modulus function defined on R as g x = x , then the value of g o f - 5 3 is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

If f ' ' is the greatest integers function defined on R as f x = x and g ' ' is the modulus function defined on R as g x = x , then the value of g o f - 5 3 is Given, g ( x ) = | x | g o f - 5 3 = g f - 5 3 = f - 5 3 = - 5 3 = - 1 . 67 = - 2 The Greatest integer less than - 1 . 67 is - 2 But here x Hence, - 2 = 2

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