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Question
Find the domain of the following function:
`f(x)sin^-1sqrt(x^2-1)`
Solution
To the domain of sin-1 y which is [−1, 1]
∴ x2 - 1 ∈ [0, 1] as square root can not be negative
⇒ x2 ∈ [0, 1]
⇒ x ∈ [−√2, −1] ∪ [1, √2]
Hence, the domain is [- √2, -1] ∪ [1, √2]
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