If the function f(x) = √(1 - √(1 - x2)), then f(x) is:

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Mathematics · Continuity and Differentiability

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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continuous in [-1, 1] and differentiable in (-1, 0) ∪ (0, 1)

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Answer 1

continuous in [-1, 1] and differentiable in (-1, 1)

Answer 2

continuous in [-1, 1] and differentiable in (-1, 0) ∪ (0, 1)

Answer 3

continuous and differentiable in [-1, 1]

Answer 4

neither continuous nor differentiable in [-1, 1]

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