I. Composition of Functions a. When one function plays the role of a variable in another function b. Notation: (fo g)(x) or f(g(x)) c. Domain of f(g(x)) is the intersection of g(x) AND the final result d. Remark: fog gof e. Example: Let f(x) = x and g(x) = (2-x) i. fog f(v(2-x)) = (2-x)1/3 ii. Domain of g: 1. Groot(2-x) 2. 2-x >= 0 3. x = 0 vi. Domain of final result 1. (2-x) 2. 2-x >= 0 3. -x