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AP EAMCET202124 Aug 2021Morning ShiftMathematicsFunctionsActual

The domain of defined of the function f(x)= 1-|x| 2-|x| is

Options

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

Correct answer

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

Step-by-step solution

f(x)= 1-|x| 2-|x| For domain 1-|x| 2-|x| 0 and 2-|x| 0 aligned |x| & 2 x & = 2 aligned Case I When, x 0 So, Eq. (i) becomes 1-x 2-x 0 |x|= [ array cc x & x 0 -x & x But x Required solution is x (- ,-2) [-1,1] (2, )

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