Construct examples
a. show that if f and g are one to one, then f+g might not be one to one.
b. show that if f and g are onto, then f+g need not be onto.
c. give an example of functions f and g that are one to one and onto, but f times g is not one to one and not onto.

Question

Construct examples
a. show that if f and g are one to one, then f+g might not be one to one. 
b. show that if f and g are onto, then f+g need not be onto. 
c. give an example of functions f and g that are one to one and onto, but f times g is not one to one and not onto.

zarkon · Answer

I was waiting to see if they would actually try.  They posted this before and when I asked if they had any ideas they just closed or deleted the post and posted again.

zzr0ck3r · Answer

wow glad you said this.