The domain of definition of $ cos^{-1}(2x-1),$ is
Answer & explanation
Correct answer: option 2
The domain of $cos^{-1}x$ is [-1,1]. So, the domain of $cos^{-1}(2x-1)$ is the set of all value of satisfying
$-1 ≤ 2x-1 ≤ 1 ⇒ 0 ≤2x ≤2 ⇒ 0 ≤x ≤1$
Hence, the domain of $cos^{-1}(2x-1) $ is [0,1].