Suppose f:BC and g:AB are functions. Check all the statements that are true:

A. If fg is 1-1, then so is g.

B. If fg is 1-1, then so is f.

C. If f and g are both 1-1, then so is fg.

D. If fg is 1-1 and g is not, then f cannot be onto.

E. If fg is 1-1 and f is not, then g cannot be onto.

F. None of the above

I've tried the following: C, F, ABCDE, ABC, CDE, AB, ABDE