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Question Id : 13202 | Context : JEE Main 2023 (25 January Morning Shift)
Let $f:(0,1)\to \mathbb{R}$ be a function defined by $f(x)=\dfrac{1}{1-e^{-x}}$, and $g(x)=\bigl(f(-x)-f(x)\bigr)$.  
Consider two statements:

(I) $g$ is an increasing function in $(0,1)$  
(II) $g$ is one-one in $(0,1)$

Then,


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