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AP EAMCET202017 Sep 2020Morning ShiftMathematicsFunctionsActual

Find the domain of the real valued function (f(x)= ([x]^2-[x]-2 )^ -1 / 2 ), where ([ ] ) is the greatest integer function.

Options

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

Correct answer

A. (R-(-1,3] )

Step-by-step solution

Let (y=f(x)= ([x]^2-[x]-2 )^ -1 / 2 ) ( y^2= 1 [x]^2-[x]-2 ) For real valued ( aligned & [x]^2-[x]-2 > 0 & [x]-2 [x]+1 > 0 & [x] R -(-1,2) aligned ) So, (x R -(-1,3] )

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