The name "Christ" means "the Anointed One," which is the formal name of our Lord, although it is often used as a proper name. That comes from the Greek word Christos, which means Messiah in Hebrew. The word is originally derived from a verb, which means "to anoint the body with holy oil." When used as a title, it means "the anointed one." The title of Jesus indicates that his duties and work are sent by the Holy Father.
The compound title Jesus Christ means the anointed Savior.