Let be defined by

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

Problem

Let

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

be defined by

f(x)=\dfrac{px+q}{x+1}

, where

p,q\in\mathbb R

. Determine the relation between

p

and

q

that must hold so that

f

is invertible.

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