The domain of the function f(x) = log |x|
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log(1−x) is defined if 1−x>0⇒x<1⇒xϵ(−∞,1).....(1)
x2−1 is defined if x2−1≥0⇒x2≥1
⇒x≥1 or x≤−1.....(2)
∴ Required domain is the instruction of (1) and (2)
i.e. (−∞,−1]
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