Q75 / 200 · Manipal (MET) 2012 · Mathematics

Domain of the function $\log \left|x^2-9\right|$ is

  • A
    $R$
  • B
    $R-[-3,3]$
  • Correct answer
    C
    $R-\{-3,3\}$
  • D
    None of these

Solution

For $x=-3,3 ;\left|x^2-9\right|=0$ Therefore, $\log \left|x^2-9\right|$ does not exist at $x=-3,3$ Hence, domain of function is $R-\{-3,3\}$.

Hence, the correct answer is option: 'C'.

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