The domain of the real valued function $f(x)=\frac{3}{4-x^2}+\log _{10}\left(x^3-x\right)$ is

• A

  $(1,2) \cup(2, \infty)$
• B

  $(-1,0) \cup(1,2)$
• Correct answer
  C

  $(-1,0) \cup(1,2) \cup(2, \infty)$
• D

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

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