What is the domain of the function cos^-1(2x - 3)?

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 $[1, 2]$.