For , define and on . Determine all real values of for which as functions on…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

For

k\in\mathbb R

, define

f(x)=x+2

and

g(x)=kx

\mathbb R

. Determine all real values of

k

for which

f\circ g=g\circ f

as functions on

\mathbb R