Define f(x)=1+x1−x and g(x)=−2x+1. Find the value of g(f(g(f(⋯g(f(12))⋯)))) where the function f is applied 8 times, and the function g is applied 8 times, alternating between the two.
f(12) = -13/11
g(-13/11) = 22
f(22) = -23/21
g(23/21) = 21.
So it looks like each round it subtracts 1. 23 - 8 = 15
=^._.^=
+273 
