Question: does faramir die in the return of the king

Answer: Yes, With Éowyn, he settled in Emyn Arnen, where the two had a son named Elboron. After Faramir's death at the age of 120, his son succeeded him in all of his titles. Barahir, Faramir's grandson, wrote The Tale of Aragorn and Arwen, which was inserted (in an abbreviated form) in the Thain's Book by the writer Findegil, and appears in The Lord of the Rings as part of Appendix A.