Mathematics · 2023
JEE Main · 25 January 2023, Shift 1 · Q73
Let f:(0,1) → R be a function defined by f(x)=1/(1-e^-x), and g(x)=(f(-x)-f(x)). Consider two statements (I) g is an increasing function in (0,1)…
Let $\displaystyle f:(0,1) \rightarrow \mathbb{R}$ be a function defined by $\displaystyle f(x)=\frac{1}{1-e^{-x}}$, and $\displaystyle g(x)=(f(-x)-f(x))$. Consider two statements
(I)
g is an increasing function in $\displaystyle (0,1)$
(II)
g is one-one in $\displaystyle (0,1)$
Then,
Official answer
From NTA’s final answer key for this paper.
(4)
Both (I) and (II) are true
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.