Let \(f(x)=x+1 \) and \(g(x)=2x\). Also denote the inverses 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)))))) = 11.