erob123
Bowden cables, like your clutch cable, work on the law of the lever.
Think of lifting up a heavy weight hanging on a rope using a lever balanced on a fulcrum. The rope is in tension and the fulcrum is in compression. To adjust the point of lift you could either vary the length of the rope or adjust the height of the fulcrum. The outer sleeve of your clutch cable is made out of plastic-coated, steel, square-section wire and is resistant to compression forces along its length. This outer sleeve works as your fulcrum and, because it is flexible, lets you put it where it is needed - at the end of your handlebar. The cable inner is like the rope in the lever example and resists only stretching forces. It is threaded down through that snaking fulcrum back to where control movement is needed.
The cable adjusters let you fine tune the length of the fulcrum, and therefore the lift range of the inner cable.
I hope this helps.
Chas