Examples For Section 2.7

Problem Number 4

Find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each other.

Problem Number 6

Find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each other.

Problem Number 8

Problem Number 10

Problem Number 16

The given function is one-to-one.  Find its inverse and verify that the function you found is the inverse.

Problem Number 20

The given function is one-to-one.  Find its inverse and verify that the function you found is the inverse.

Problem Number 26

The given function is one-to-one.  Find its inverse and verify that the function you found is the inverse.

Similar To Problem Numbers 29-34

Which of the graphs below represent functions that are one-to-one and have inverse functions?

(a)    

(b)    

(c)    

(d)    

The graphs in (c) and (d) are of one-to-one functions and would have inverse functions.  They would both pass the horizontal line test.

The two functions given below are inverses.  Their graphs are pictured at the right along with the graph of y = x graphed in a broken green line.  Can you observe something about the relationship between the graphs of the two functions that are inverses of each other relative to the graph of y = x?

          This site contains links to other Internet sites.  These links are not endorsements of any products or services in such sites, and no information  

           in such site has been endorsed or approved by this site.

        Lane Vosbury, Math Chair, Seminole Community College   email:  vosburyl@scc-fl.edu

        This page was last updated on 10/08/08          Copyright 2002          webstats