What is the domain of f(x)=log0.5(x2−1)f(x) = \sqrt{\log_{0.5}(x^2 - 1)}f(x)=log0.5(x2−1)?
x∈[−2,−1)∪(1,2]x \in [-\sqrt{2}, -1) \cup (1, \sqrt{2}]x∈[−2,−1)∪(1,2]
x∈(−1,1)x \in (-1, 1)x∈(−1,1)
x∈(−∞,−2]∪[2,∞)x \in (-\infty, -\sqrt{2}] \cup [\sqrt{2}, \infty)x∈(−∞,−2]∪[2,∞)
x∈(1,2]x \in (1, 2]x∈(1,2]