Functions

Let $f(x)=x^2+2 b x+2 c^2$ and $g(x)=-x^2-2 c x+b^2 . x \in R$. If $b$ and $c$ are non-zero real numbers such that min $f(x)>\max g(x)$, then $\left|\frac{c}{b}\right|$ lies in the interval