JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

Let

f:(0,1) \rightarrow R

be a function defined by

f(x)=\frac{1}{1-e^{-x}}

, and

g(x)=(f(-x)-f(x))

. Consider two statements

(I)

g

is an increasing function in

(0,1)

(II)

g

is one-one in

(0,1)

Then,

View answer and explanation

Correct option: B

Both (I) and (II) are true

Option B is correct because both statements are true: g(x) is increasing, and it is one-to-one, as shown by its positive derivative.

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