f : R (-1,1), f(x) = e^x - 1 e^x + 1 is - Vidyadip

MCQ

$f : R \rightarrow (-1,1), f(x) = \frac{e^x - 1}{e^x + 1}$ is

A
one-one into
✓
one-one onto
C
many one into
D
many-one onto

✓

Answer

Correct option: B.

one-one onto

b
$f(x)=1-\frac{2}{e^{x}+1}$

range of $f(x)=(-1,1)$

$f^{\prime}(x)=+\frac{2 e^{x}}{\left(e^{x}+1\right)^{2}}>0 \forall x \in R$

so $f(x)$ is one-one onto

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