Determine all real numbers such that the function defined by is invertible.

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

Problem

Determine all real numbers aa such that the function f:R∖{−a}→R∖{1}f:\mathbb R\setminus\{-a\}\to \mathbb R\setminus\{1\} defined by f(x)=xx+af(x)=\dfrac{x}{x+a} is invertible.

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