1.
Let f:R{0}(,1)f: \mathbb{R} - \{0\} \to (-\infty, 1) be a polynomial of degree 2, satisfying f(x)f(1x)=f(x)+f(1x)f(x)f\left(\frac{1}{x}\right) = f(x) + f\left(\frac{1}{x}\right). If f(K)=2Kf(K) = -2K, then the sum of squares of all possible values of KK is: