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The domain of the function by f(x) = sin-1 √(x – 1) is(a) [1, 2] (b) [-1, 1] (c) [0, 1] (d) none of these |
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Answer» (a) [1, 2] We know that, sin-1 x is defined for x ∈ [-1, 1] So, f(x) = sin-1 √(x – 1) is defined if 0 ≤ √(x – 1) ≤ 1 0 ≤ x – 1 ≤ 1 1 ≤ x ≤ 2 Hence, x ∈ [1, 2] |
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