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Projection Formula

sqrt x -sqrt ...

Question

sqrt x -sqrt 1- x^2 domain ?

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Q. The domain of the function

f (x) = \sqrt{1 - \sqrt{1 - \sqrt{1 - x^{2}}}}

Q. The domain of

f (x) = \sqrt{x - \sqrt{1 - x^{2}}}

Q. The domain of

f (x) = \sqrt{1 - \sqrt{x^{2} - 14 x + 49}}

Q. The domain of

f (x) = \sqrt{(\frac{1}{\sqrt{x}} - \sqrt{(x + 1)})}

Find the domain of the following function:

f (x) = \sqrt{1 - \sqrt{1 - \sqrt{1 - x^{2}}}}

,
the domain is [-a, a], then a is?

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