The domain of the function cos−1(2x−1) is
(a) [0, 1] (b) [−1, 1] (c) (−1, 1) (d) [0, π]
(a) We have, f(x)=cos−1(2x−1) ∴ −1≤2x−1≤1⇒ 0≤2x≤2⇒ 0≤x≤1∴ x∈[0, 1]
Find the domain of f(2x - 1) if the domain of f(x) is [-1,1]
The domain of the function defined by f(x)=sin−1√x−1 is
(a) [1, 2] (b) [−1, 1] (c) [0, 1] (d) None of these