Let be defined by with real parameter .

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

g:\mathbb R\to\mathbb R

be defined by

g(x)=mx+3

with real parameter

m

. (i) Find all real values of

m

for which

g

is a bijection. (ii) For each such

m

, write the corresponding inverse function

g^{-1}(x)