Let be defined by

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

Problem

Let

f:\mathbb R\setminus\{-1\}\to\mathbb R

be defined by

f(x)=\dfrac{ax+1}{x+1}

, where

a\in\mathbb R

. Determine all real values of

a

for which

f

is injective on its domain.

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