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Find the domains fo the following real v...

Find the domains fo the following real valued functions:
(i) `f(x) = sqrt(4x-x^(2))`
(ii) `f(x) =sqrt(2-x) + sqrt(1+x)`
(iii) `f(x) = (sqrt(3+x) + sqrt(3-x))/x`
(iv) `f(x) = sqrt(|x|-x)`,
(v) `f(x) = sqrt(x-|x|)`
(vi) `f(x) = sqrt(|x|-x)`

Text Solution

Verified by Experts

The correct Answer is:
(i) [0,4], (ii) [-1,2], (iii) [-3,3]-{0}
(iv) R, (v) R, (vi) Z
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