Let and . For which value of does hold for all real…

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

Problem

Let

f(x)=kx+1

and

g(x)=x+2

. For which value of

k

does

(f\circ g)(x)=(g\circ f)(x)

hold for all real

x

? (a)

k=\frac12

(b)

k=1

(c)

k=2

(d) Any real

k

Related theory

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