Wetzel

Math 110

2.6 – The Algebra of Functions

Adding, Subtracting, Multiplying, and Dividing:

            Adding:  (f + g)(x) = f(x) + g(x)

            Subtracting:   (f – g)(x) = f(x) – g(x)

            Multiplying:  (f · g)(x) = f(x) · g(x)

            Dividing: 

Ex.:     Given,  ,  , and  , find the following.  

            1.)  (h + f)(x)                                                    2.)  (f – h)(x)   

            3.)  (f · h)(5)                                                     4.) 

Composition of Functions:

Examples:

            1.)                          2.)                          3.) 

HOMEWORK:    p.253:  #3, 7, 11, 15, 17, 21, 25, 49-61odd