1.

The domain of the function defined by f(x) = sin-1 √(x - 1) is …(a) [1, 2] (b) [-1, 1] (c) [0, 1] (d) [-1, 0]

Answer»

(a) [1, 2]

The domain for sin-1 x is [0, 1]

So, √(x - 1) = 0 ⇒ x – 1 = 0 ⇒ x = 1

√(x - 1) = 1 ⇒ x – 1 = 0 ⇒ x = 2

∴ The domain is [1, 2]



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