For a real parameter

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For a real parameter

a

, define

f: \mathbb R\setminus\{-2\}\;\to\;\mathbb R

by

f(x)=\frac{ax+1}{x+2}.

Find all real values of

a

for which

f

is one–one on its domain.

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