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Question
The domain of the function cos–1(2x – 1) is ______.
Options
[0, 1]
[–1, 1]
( –1, 1)
[0, π]
Solution
The domain of the function cos–1(2x – 1) is [0, 1].
Explanation:
The given function is cos–1(2x – 1)
Let f(x) = cos–1(2x – 1)
– 1 ≤ 2x – 1 ≤ 1 ⇒ – 1 + 1 ≤ 2x ≤ 1 + 1
0 ≤ 2x ≤ 2 ⇒ 0 ≤ x ≤ 1
∴ Domain of the given function is [0, 1].
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