What does Luke 4:15 mean?

In typical ancient fashion, Luke lays out his information according to topic, rather than according to a strict timeline. Following Jesus' wilderness temptation, He spent most of His early preaching time in Judea (Luke 3:18–20; Mark 1:14). After the arrest of John the Baptist, Jesus returned to the Galilee area (Matthew 4:12). This is the setting for this section of Luke's gospel.

Jesus' wisdom creates quite a stir in the area. His lessons at synagogues are widespread news (Luke 4:14). This pattern applies to most instances where Jesus teaches: varied combinations of amazement and outrage (Matthew 5:1; Mark 12:38–40; John 7:46). A noteworthy example is in His own hometown of Nazareth. There, the people will appreciate His wisdom but refuse to see Him as more than the child of Mary and Joseph (Luke 4:22). When Jesus tries to clarify His ministry, the hometown crowd responds with anger (Luke 4:28–30).