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Question
Find the domain of the function f(x) = `sqrt(1 + sqrt(1 - sqrt(1 - x^2)`
Solution
f(x) = `sqrt(1 + sqrt(1 - sqrt(1 - x^2)`
`sqrt(1 - x^2) = sqrt((1 + x)(1 - x))`
⇒ x = – 1 or x = 1
= – 1 ≤ x ≤ 1
Domain of f(x) = {– 1, 0, 1}
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