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If F(x) and G(x) are even and odd extens...

If `F(x) and G(x)` are even and odd extensions of the functions `f(x) = x|x|+ sin|x|+ xe^x`, where `x in (0, 1), g(x) = cos|x| + x^2-x`, is where `x in (0, 1)` respectively to the ars interval `(-1, 0)` then `F(x)+G(x) `in `(-1,0)` is

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