Combination Verbs ?!

Actually i dont know what to call them
İ just know 2 verbs of them and i just understand on of them very well, and i knew there are almost about 5,6 verbs like that too
The one i know are
Bilmek and Vermek
We add them to the verbs to form other meaning
When we add bilmek we give the meaning of ability
Çalışabiliyorum...i CAN study or work

But with other verbs, i dont know where, when, or how to add them,or what/how many are they exactly.

Any help here ?!