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AP EAMCET202123 Aug 2021Evening ShiftMathematicsFunctionsActual

The domain of the function defined by f(x)= -5 4 x^2+1 + x^2-4 is

Options

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

Correct answer

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

Step-by-step solution

f(x)= -5 4 x^2+1 + x^2-4 f(x) will be undefined if 4 x^2+1=0 or x^2-4 < 0 4 x^2+1 0 for x R x^2 . is always positive Now, let x^2-4 < 0 array ll & x^2 < 4 & x (-2,2) array Function will be undefined when x (-2,2) Domain of f(x)=R-(-2,2)=(- ,-2] [2, )

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