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Question
Find the domain of the following
`g(x) = 2sin^-1(2x - 1) - pi/4`
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Solution
Range of 2 sin–1 x is [– 1, 1]
– 1 ≤ 2x – 1 ≤ 1
2x – 1 ≤ 1 or 2x – 1 ≥ – 1
2x ≤ 2 or 2x ≥ – 1 + 1
x ≤ 1 or 2x ≥ 0
⇒ x ≥ 0
x ≥ 0 and x ≤ 1
∴ solution is [0, 1]
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