Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Marksdomains_and_ranges
Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #22
Find the real domain of \(f(x)=\sin^{-1}\sqrt{x-1}\).
✅ Step-by-Step Solution
Final Answer: Option (A): \([1,2]\)
- The real square root requires x≥1, and its value must be ≤1 for arcsine. Thus 0≤x−1≤1, giving [1,2].
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