Suppose that g is a function from A to B and f is a function from B to C. Show that if f ? g is one-to-one, then g must be one-to-one. Give an example showing that f is not necessarily a one-to-one function.

(15 points) Suppose that g is a function from A to B and f is a function from B to C. Show that if fo g is one-to-one, then g must be one-to-one. Give an example showing that f is not necessarily a one-to-one function