1. (b) Show that the 'rule' defined by is not a well-defined function.
2. Define a function by
(a) show that f is not one-to-one
(b) show that f is onto
3. Let A, B, C be non-empty sets and let and be functions.
(a) Show that it is onto, then g is onto
(b) Find an example of functions f and g such that is onto but where f is not onto