Question:
The domain of the function cos-1 (2x – 1) is
(a) [0, 1]
(b) [-1, 1]
(c) [-1, 1]
(d) [0, π]
Solution:
(a) [0, 1]
Since, cos-1 x is defined for x ∈ [-1, 1]
So, f(x) = cos-1 (2x – 1) is defined if
-1 ≤ 2x – 1 ≤ 1
0 ≤ 2x ≤ 2
Hence,
0 ≤ x ≤ 1
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