Application Of Derivatives

Let \(f:(0,1)\to\mathbb{R}\) be a function defined \(f(x) = {1 \over {1 - {e^{ - x}}}}\), and \(g(x) = \left( {f( - x) - f(x)} \right)\). Consider two statements

(I) g is an increasing function in (0, 1)

(II) g is one-one in (0, 1)

Then,