Questions
The domain of definition of
a
(–∞, ∞)\[–1, 1]
b
(–∞, ∞)\[–2, 2]
c
[–1, 1] ∪ (–∞, –2) ∪ (2, ∞)
d
None of these
detailed solution
Correct option is C
f (x) is defined if 1−|x|2−|x|≥0 and 2−|x|≠0⇒(1−|x|)(2−|x|)(2−|x|)2≥0 and x≠−2,2⇒(|x|−1)(|x|−2)≥0 and x≠−2,2⇒|x|≤1 or |x|>2⇒−1≤x≤1 or (x<−2 or x>2) Domain of f=[−1,1]∪(−∞,−2)∪(2,∞)Talk to our academic expert!
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