Let f∘g denote function composition such that (f∘g)(x)=f(g(x)). Let f:A→B such that for all g:B→A and h:B→A we have f∘g=f∘h⇒g=h. Which of the following must be true?
(ans : one to one)
doubt: why it is not onto? Bcz : for function g , (to qualify to be a function, the entire domain of g must be mapped). So, domain of g= range of f.