Suppose f: A → B and g: B → C.
a) If f is onto, then is g ? f onto? Either provide a proof to show that this is true or provide a counter example to show that this is false.
b) If f is onto and g is one-to-one, then is then is g ? f one-to-one? Either provide a proof to show that this is true or provide a counter example to show that this is false.