The domain of the definition of the function

Question:

The domain of the definition of the function

$f(x)=\frac{1}{4-x^{2}}+\log _{10}\left(x^{3}-x\right)$ is :-

  1. $(1,2) \cup(2, \infty)$

  2. $(-1,0) \cup(1,2) \cup(3, \infty)$

  3. $(-1,0) \cup(1,2) \cup(2, \infty)$

  4. $(-2,-1) \cup(-1,0) \cup(2, \infty)$

Correct Option: , 3

Solution:

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