Suppose f : A -> B and g : B -> C are functions.

(a) Show that if f is surjective and g is not injective then g o f is not injective.

(Hint: draw pictures to get an idea.)

(b) Show that if f is not surjective and g is injective then g o f is not surjective.

hey, I have a general idea how to solve questions like this, but these ones seem more challenging than any ive done so far, so any help is is really appreciated