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What is the domain of the function $\cos^{-1}(2x - 3)$? |
$[-1, 1]$ $(1, 2)$ $(-1, 1)$ $[1, 2]$ |
$[1, 2]$ |
The correct answer is Option (4) → $[1, 2]$ ## Let, $f(x) = \cos^{-1}(2x - 3)$ $-1 \le 2x - 3 \le 1$ $\Rightarrow 2 \le 2x \le 4$ $\Rightarrow 1 \le x \le 2$ $∴x \in [1, 2]$ or domain of $x$ is $[1, 2]$. |
