Show that the function defined by

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

1. Show that the function

f: \mathbf{R} \rightarrow\{x \in \mathbf{R}:-1<x<1\}

defined by

f(x)=\frac{x}{1+|x|}

,

x \in \mathbf{R}

is one one and onto function.

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