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The domain of the function defined by $f(x) = \sin^{-1} \sqrt{x - 1}$ is |
$[1, 2]$ $[-1, 1]$ $[0, 1]$ None of these |
$[1, 2]$ |
The correct answer is Option (1) → $[1, 2]$ ## $∵f(x) = \sin^{-1} \sqrt{x - 1}$ $∴0 \le x - 1 \le 1 \quad [∵\sqrt{x - 1} \ge 0 \text{ and } -1 \le \sqrt{x - 1} \le 1]$ $\Rightarrow 1 \le x \le 2$ $∴x \in [1, 2]$ |
