If any of the words from "Both Jewel and Lauryn Hill" are chosen then it is A. part of a compound subject. A compound subject is when there are two things that operate as the subject of the sentence. Since the sentence is talking about both women, they are a compound subject.
A compound predicate is when there are two main verbs. For example, yesterday I ran and ate. Ran and ate would be a compound predicate. A direct object follows an action verb. It is the direct recipient of the action. For example, water would be the direct object in the sentence "I brought water." It is the thing that is brought. An indirect object receives the direct object. Him would be the indirect object in the sentence "I brought him water." Him is the one receiving the water that is brought. None of these other options are in the sentence. The words singers and songwriters are predicate nominatives. They rename the subject as singers and songwriters.