Answer:
For given function to be defined,
2−∣x∣
1−∣x∣
≥0
⇒
∣x∣−2
∣x∣−1
⇒∣x∣∈(−∞,1]∪(2,∞)⇒∣x∣∈[0,1]∪(2,∞), Since ∣x∣≥0
⇒x∈[−1,1]∪(−∞,−2)∪(2,∞)
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Answer:
For given function to be defined,
2−∣x∣
1−∣x∣
≥0
⇒
∣x∣−2
∣x∣−1
≥0
⇒∣x∣∈(−∞,1]∪(2,∞)⇒∣x∣∈[0,1]∪(2,∞), Since ∣x∣≥0
⇒x∈[−1,1]∪(−∞,−2)∪(2,∞)