The domain of the function $\cos^{-1}(2x-3)$ is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → [1, 2]
Given: $f(x) = \cos^{-1}(2x - 3)$
Domain of $\cos^{-1}(u)$ is: $-1 \le u \le 1$
Apply this to $u = 2x - 3$:
$-1 \le 2x - 3 \le 1$
Add 3 to all sides:
$2 \le 2x \le 4$
Divide all sides by 2:
$1 \le x \le 2$