Radiator cooling fan

I have just brought a renault laguna 1.6 authentique 2002 with a few problems, when you start the car from cold within a second or two the radiator cooling fan comes on and stays on its not on fast it only goes to fast when the car is at temperature then goes back slower i have checked many things but i have noticed that the relay in the engine fusebox (r3) is permanently enagised taking the relay out and the fan stops but still kicks in at temperature what actualy energises this relay because that might be faulty, many thanks only joined here today