Introductory Dynamical Sys HW

[open coral]

I'm feeling really lost on my homework and would love some advice on how to proceed in this problem.

[grim osprey]

for the io relation, normally you would have to draw the block diagram

but, in this problem, i dont think its necessary

simply notice that $\qquad y=F(u) \iff F^{-1}(y)=F^{-1}[F(u)]=u$

[errant mauve]

Milena

[grim osprey]

so, you basically got two expressions of u, equate them and rearrange...