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Domain

Algebra Level 3

What is the domain of \( \dfrac{ \sqrt{x^2-2} }{x^2-4} \)?

Notation: In the answer choices, \(\mathbb R \) denotes the set of real numbers.

\[ [-2,2] \setminus\{ -\sqrt2, \sqrt2\} \] \[ \mathbb R \setminus \{-2,2\} \] \[ \mathbb R \setminus (-\sqrt2,\sqrt2) \cup \{-2,2\} \] \[ \mathbb R \setminus (-\sqrt2,\sqrt2) \]

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by Abdelrahman Samy

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