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Find domain of f(x) = sqrt(1 - sqrt(1-sq...

Find domain of f(x) = `sqrt(1 - sqrt(1-sqrt(1 - x^2)))`.

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Obviousily `1 - x^2 ge 0, 1 - sqrt(1 - x^2) ge 0` and `1 - sqrt(1 - sqrt(1 - x^2)) ge 0`
Also `1 - x^2 ge 0 rArr -1 le x le 1`
`therefore` Domain of f(x) is [-1,1].
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