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AP EAMCET20226 Jul 2022Evening ShiftMathematicsFunctionsActual

The domain of the real valued function f(x)= ₂(x+3) x^2+3 x+2 is

Options

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

Correct answer

D. (-3,-2) (-1, )

Step-by-step solution

aligned & Given, f(x)= ₂(x+3) x^2+3 x+2 & & x^2+3 x+2>0 & x^2+2 x+x+2>0 & x(x+2)+1(x+2)>0 & (x+2)(x+1)>0 & x (- ,-2) (-1, ) & But x+3>0 & x>-3 aligned Hence, x (-3,-2) (-1, ) .

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