$f:[-1,1]\to\mathbb R$ with $f(x)=f\!\left(\frac{2-x^2}{2}\right)\cdot\frac{x^2}{2-x^2}\quad\text{... [as printed]}$ (Standard interpretation: $f(x)=f\!\Bigl(\dfrac{2x^2}{2-x^2}\Bigr)$ or similar.) Find $f(-1)$.