Wetzel

Math 102

11.5 – 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: 

Examples:     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.)