If f:X→Y is onto and g:Y→Z is onto,then prove that gof:X→Z is onto.

Dear Menka,

 in order to prove that gof:X→Z is onto we have to show that every element in Z

has it's pre image in X i.e

if  C be an arbitrary element of Z,B be an arbitrary element of Y, A be an arbitrary element of Z.

for all C belongs to Z there exists A belongs X such that (gof)(A)=C ------------to prove

We are all IITians and here to help you in your IIT JEE preparation.

Now you can win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar : Click here to download the toolbar..  

jitender

askiitians expert

Dear Menka,

Assume an element x1 since x,y and y,z are onto we can prove that x,z is also onto.

Best Of Luck...!!!!

Cracking IIT just got more exciting,It’s not just all about getting assistance from IITians, alongside Target Achievement and Rewards play an important role. ASKIITIANS has it all for you, wherein you get assistance only from IITians for your preparation and winexciting gifts by answering queries in the discussion forums. Reward points 5 + 15 for all those who upload their pic and download the ASKIITIANS Toolbar, just a simple click here to download the toolbar….

So start the brain storming…. become a leader with Elite Expert League ASKIITIANS

Thanks

Aman Bansal

Askiitian Expert

Hi Menka,

The solution is written in the scanned copy.

Hope that helps.

All the best,

Regards,

Ashwin (IIT Madras).