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Let `f(x) =1/2-tan((pix)/2) `, -1<x<1 and g(x) = `sqrt(3 + 4x+- 4x^2)`, the domain of (f+g) is

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Let `f(x) =1/2-tan((pix)/2) `, -1<x<1 and g(x) = `sqrt(3 + 4x+- 4x^2)`, the domain of (f+g) is
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`P:x in (-1,1)`
`g(x)=sqrt(3+4x-4x^2)`
`3+4x-4x^2>=0`
`4x^2-4x-3<=0`<br> `(2x+1)(2x-3)<=0`<br> `x in [-1/2,3/2]`
`x in [-1/2,1)`
Option 3 is correct.
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