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प्रश्न
The domain of the function y = sin–1 (– x2) is ______.
पर्याय
[0, 1]
(0, 1)
[–1, 1]
φ
उत्तर
The domain of the function y = sin–1 (– x2) is [–1, 1].
Explanation:
y = sin–1(– x2)
⇒ siny = – x2
i.e. – 1 ≤ – x2 ≤ 1 ......(Since – 1 ≤ sin y ≤ 1)
⇒ 1 ≥ x2 ≥ – 1
⇒ 0 ≤ x2 ≤ 1
⇒ |x| ≤ 1
i.e. – 1 ≤ x ≤ 1
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