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The domain of the function f (x)= 1 x¹²-x⁹+x⁴-x+1 is given by

Options

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

Correct answer

D. (- , )

Step-by-step solution

f (x) is defined for x¹²-x⁹+x⁴-x+1>0 array l x⁴ (x⁸+1 )-x (x⁸+1 )+1>0 (x⁸+1 ) x (x³-1 )+1>0 array If x 1 or x -1 , then the above expres - sion is positive. If -1 0 [x⁴+1>x⁸+1 and so x⁴+1>x (x⁸+1 ) ] array The domain of f=(- , )

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