Question: An equilibrium that is stable when time goes forward should be unstable when time goes backward. Find the inverses of the updating functions associated with

An equilibrium that is stable when time goes forward should be unstable when time goes backward. Find the inverses of the updating functions associated with the following discrete-time dynamical systems, and find the derivative at the equilibria.
ct + 1 = 0.5ct + 8.0, for 0 ≤ ct ≤ 30.

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