Final answer:
The phrase 'by talking about them' in the sentence serves as an object of the preposition. 'Some people' are the subject who perform the action of 'dealing,' and 'deal' is the verb in the predicate. There is no linking verb present to indicate the presence of a subject complement.
Step-by-step explanation:
In the given sentence, 'Some people deal with their feelings by talking about them,' the phrase 'by talking about them' functions as anobject of the preposition. The subject of this sentence is 'Some people,' who are the doers or the main character. The predicate contains the verb 'deal,' which expresses the action. When we look at the structure of the sentence, everything after the verb 'deal' (including the prepositional phrase 'by talking about them') provides information about how 'Some people' are dealing with their feelings. Therefore, 'talking about them' is not acting as a subject, predicate nominative, or direct object in this sentence.
In English grammar, subject complements can be nouns, pronouns, or adjective phrases that follow linking verbs and define or describe the subject. In the case of the sentence in question, there is no linking verb such as 'be,' 'feel,' or 'seem' that would allow for a subject complement.
It is important to note that subject complements can come in the form of nouns, noun phrases, and sometimes as adjectival or prepositional phrases, which may be idiomatic expressions. In the case of personal pronouns, the subjective case, the objective case, and possessive case pronouns would be used differently depending on their function as the subject, object, or showing ownership, respectively.