MTH-100 Lecture : More on functions
Document Summary
Suppose f (x) = x2 and g(x) = 2x 3 f f g x g x. Simply evaluate the sum function using three 32 +2(3) 3 = 12. Composition of functions is something that may be less intuitive. First notation: f g or f g x is read " of f g of " x is read " of g f of " x g f or g f x. Notice that f g x g f x in this case. f g g f. Start with x, apply both, end with x. Look at a brief table of values for each function and the graph of each. f x. Visually the graphs are mirror images of one another. Two functions are inverses of one another if f g g f x. To have an inverse a function must be 1-1. For example, if i have f x x=
and their domains.
