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Let f: R-{-1}->R-{1} be given by f(x)=x/...

Let `f: R-{-1}->R-{1}` be given by `f(x)=x/(x+1)` . Write `f^(-1)(x)` .

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`f(x)=frac{x}{x+1} ldots ldots . . .[text { Given ] }`

The, `f(y)=frac{y}{y+1} quad cdots(1)`

`text { Let } {f}^{-1}({x})={y} `

`Rightarrow {f}({y})={x} `

`Rightarrow frac{{y}}{{y}+1}={x} ldots ldots .[text { From }(1)] `

`Rightarrow {y}={xy}+{x} `

...
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