Let f(x)=x+1 and g(x)=2x. Also denote the inverse to these functions as f^{-1} and g^{-1}. Compute f(g^{-1}(f^{-1}(f^{-1}(g(f(5)))))).
$f(g^{-1}(f^{-1}(f^{-1}(g(f(5)))))) = 1/4$.
