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Find the domain of the following real va...

Find the domain of the following real valued functions:
(i) `f(x) =1/sqrt(x^(2)-a^(2)) (a gt 0)`
(ii) `f(x) =1/sqrt(1-x^(2))`
(iii) `f(x) = sqrt(x^(2)-1) + 1/sqrt((x^(2)-3x+2))`
(iv) `f(x) = 1/sqrt(|x|+x)`
(v) `f(x) = 1/(log(2-x))`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(-infty, a) cup (a, infty)`, (ii) `(-1,1)`, (iii) `R-(-1,2]`, (iv) `(-infty,0)`, (v) `(-infty,1)`
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