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The domain of definition of $ cos^{-1}(2x-1),$ is |
[-1,1] [0,1] [-1,0] [0,2] |
[0,1] |
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]. |
