If `F(x)a n dG(x)` are even and odd extensions of the function `f(x)=x|x|+"sin"|x|+x e^x ,w h e r ex in (0,1),g(x)=cos|x|+x^2-x ,w h e r ex in (0,1)` respectively to the interval `(-1, 0)t h e nF(x)+G(x)` in (-1,0) is (a). `sin x+cos x+x e^(-x)` `(b)(sin x+cos x+x e^(-x))` `(c)-(sin x+cos x+x+x e^(-x))` `(d)(sin x+cos x+x^2+x e^(-x))`