If h(x) = log(x) -2log(x-1), and h(x) can be written as h(x) = f(g(x)), determine functions f(x) and g(x), where neither of them are linear functions.

Answer 1

h(x) = log x/(x-1)^2
so, let
g(x) = x/(x-1)^2
f(x) = log(x)