# True or False: The composition of functions is commutative.

## 1 Answer

Toolbox:
• 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

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1 answer

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