Function Notation

Function Notation is ways of writing and solving algebraic equations. The equations can be short or long and contain none to infinite variables. There are five different types of function notations.

*To solve a function notation all you do is identify the function, find what you must do to solve or simplify the function, plug in and actually simplify or solve.

*Most mistakes are made with pluging in for (f 0 g) and (g 0 f) and simpily solving.

*Types of functions:
-(f+g) (x) = add equations
-(f-g) (x) = subract equations
-(f *g) (x) = multiply equations (closed circle)
-(f/g) (x) = divide equations
-(f 0 g) (x) or (g 0 f) (x) = replace all x's in the f(x) equation with the equation g(x). Or replace all x's in the g(x) equation with the equation g(x)

*If (x) is replaces with a # plug into equation Ex:f(2) ; (f+g) (2)

Ex1. f(x) = x+1 g(x) = 1-x Find rule for:
(f+g) (x) (f 0 g) (x)
rule states add equations rule states replace all x's in f(x) with g(x)
(x+1) + (x-1) = 1 (1-x)+x= 1