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MathNet 2017-part-06 — 176 problems (EN–VI) Question 80

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 80

Which of the following represents the domain of the function $f(x)=\frac{2x}{|x|-2}$?

(A) $\mathbb{R}$
(B) $(-\infty, 2) \cup (2, \infty)$
(C) $\mathbb{R}^{+}$
(D) $\mathbb{R} \setminus \{-2, 2\}$
(E) $(-2, 2)$