Franklin College
Erich Prisner

Writing Project 20:

Composition of Functions II

Look at the two functions and . The question is how the composed functions you can create by using these two functions look like. To get an idea, first simplify the expressions for the composed functions ff, gg, fg, gf, fgf, gfg, fgfg, gfgf, fgfgf, gfgfg. (You should also describe in your paper why no parantheses are needed here). Can you describe what functions occur as repeated composition of the functions f and g?

Erich Prisner, August 2003