The words Jesus Christ are not a first and last name: they are actually a name and a title.
The name Jesus is derived from the Greek form of the name Jeshua or Joshua, meaning “Jehavah-Savior” or “the Lord saves.”
The title Christ is from the Greek word for Messiah (or the Hebrew Mashiach, see Daniel 9:26) and means “anointed one.”
Two offices, king and priest, are indicated in the use of the title Christ. The title affirms Jesus as the promised priest and king of Old Testament prophecies.