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Home  >>  CBSE XII  >>  Math  >>  Relations and Functions
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True or False: The composition of functions is commutative.

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  • The composition of function fog is commutative if $fog=gof$
Let $f(x)=1+x$
 
$g(x)=x^2$
 
$(fog)(x)=f(x^2)$
 
$=1+x^2$
 
$(gof)(x)=g(1+x)$
 
$=(1+x)^2$
 
$=x^2+2x+1$
 
$(fog)(x) \neq (gof)(x)$
 
Therefore composition of function is not commutative
 
Given statement is false

 

 

answered Mar 6, 2013 by meena.p
 

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