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AP EAMCET201822 Apr 2018Evening ShiftMathematicsFunctionsActual

The domain of the function f(x)= 4-x^2 [x]+2 , where [x] denotes the greatest integer not more than x , is

Options

  1. A(- ,-2) (1,2)
  2. B(- ,-2) (-1,2)
  3. C(- ,-2), [-1,2]
  4. D(- ,-1) (1,2)

Correct answer

C. (- ,-2), [-1,2]

Step-by-step solution

Given function f(x)= 4-x^2 [x]+2 , is define if 4-x^2 [x]+2 0 x^2-4 [x]+2 0 So, either x^2-4 0 From intervals Eqs. (iii) and (iv), x (- ,-2) [-1,2]

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