The function is defined by f(x)= mx+1 x+2

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

Problem

The function

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

is defined by

f(x)=\frac{mx+1}{x+2},

where

m

is a real parameter. For

f

to be invertible (i.e. one–one and onto its range) on the given domain,

m

must satisfy (a)

m=\dfrac12

(b)

m>\dfrac12

(c)

m\neq\dfrac12

(d)

m<\dfrac12