CREATE TABLE table_24172157_3 (date_of_appointment VARCHAR, team VARCHAR, incoming_manager VARCHAR)

What was the date of appointment for incoming manager Roy Hodgson and the team is Liverpool?
SELECT date_of_appointment FROM table_24172157_3 WHERE team = "Liverpool" AND incoming_manager = "Roy Hodgson"
SELECT "date_of_appointment" FROM "table_24172157_3" WHERE "Liverpool" = "team" AND "Roy Hodgson" = "incoming_manager"