I have a relation with the following functional dependencies :
A -> B
AC -> D
EF -> AG
AG -> H
the couple (EG) is unique.
I want to calculate the candidate keys, should i add a functional dependency from the unique couple ?
You should absolutely add the FD EG->ABCDFH
. If you don't you'll never determine that EG is a candidate key. That is, you can't derive EG as a candidate key from the four FDs you've explicitly listed.