Suppose that g is a function from A to B and f is a function from B to C.

a) Show that if both f and g are one-to-one functions, then f o g is also one-to-one.

b) Show that if both f and g arc onto functions, then f o g is also onto.

Step 1:

Suppose that g is a function from A to B and f is a function from B to C.

Step 2:

In this statement, we have to show that

a) if both f and g are one-to-one functions, then f o g is also one-to-one.

b) if both f and g are onto functions, then f o g is also onto.