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Question

Domain of definition of the function f(x)=34x2+log10(x3x)
  1. (1,2)∪(2 ,∞)
  2. (1, 2)
  3. (-1 , 0)∪(1 , 2)
  4. (-1 , 0) ∪ (1 , 2)∪( 2, ∞)


Solution

The correct option is D (-1 , 0) ∪ (1 , 2)∪( 2, ∞)
f(x)=34x2+log10(x3x). So, 4x20  x±4

and x3x>0 x(x21)>01<x<0andx>1

 D=(1,0)(1,){4} i.e., D=(1,0)(1,2)(2,).

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