Well, the function F(s) is sometimes easier to work with than f(x) itself, or tells us interesting information about f(x) that it would be hard to figure out in other ways. Of course, the interpretation of this new function F(s) will depend on what the function k(x,s) is. Hence, we’re getting a new way of looking at our original function! Why is s frequency? There is another reason to call s frequency though.