The domain of the definition of the function 3 2 10 1 ( ) log ( ) 4 f x x x x =+ – – is:

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

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

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

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

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year April. 09, 2019 (II)

Solution:

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