Let , where and . Determine all real values of for which equals its own…

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

Problem

Let

f(x)=\dfrac{a x-1}{x+a}

, where

a\neq -1

and

x\neq -a

. Determine all real values of

a

for which

f

equals its own inverse.

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