Define by , where is a real parameter. The function is bijective precisely…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Define

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

by

f(x)=\dfrac{px+2}{x+1}

, where

p

is a real parameter. The function

f

is bijective precisely when (a)

p=2

(b)

p\ne 2

(c)

p=1

(d)

p\ne\dfrac12

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