# True or False: The composition of functions is associative

Toolbox:
• Let f(x) g(x) and h(x) be the three functions
• Then composition of functions is associative if $ho(gof)=(hog)of$
$ho(gof)(x)=h(gof(x))$

$=h(g(f(x)) \forall x$

$(hog)of (x)=hog(f(x))$

$=h(g(f(x)))$

$ho(gof)(x)=(hog)of(x)$

Hence composition of function is associative

The given statement is 'True'