Define f(x) = (1 + x)/(1 - x) and g(x) = 1/x. Find the value of g(f(g(f(... g(f(12)) ... )))) where there are 16 compositions of the functions g, and f, alternating between the two.
+128475 Let's see if we have some sort of repeating pattern here
First composition
f(12) = 13/11
g (f(12)) = g ( 13/11) = 11/13
Second composition
f(11/13) = 12
g (12) = 1/12
Third composition
f(1/12) = 13/11
g(13/11) = 11/13
The pattern repeats afer 2 compositions .......so ater 16 compositions we will end up with 1/12
