logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XII  >>  Math  >>  Relations and Functions
0 votes

True or False: The composition of functions is associative

Can you answer this question?
 
 

1 Answer

0 votes
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'

 

answered Mar 6, 2013 by meena.p
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...