FOR GENIUS 2006

Read the following instructions in order to complete this assignment:

1. We define the following functions: INCLUDEPICTURE "http://managedcourse.next.ecollege.com/CurrentCourse/__System/MathEquationEditor/MEE_49286437.gif" \* MERGEFORMATINET f(x)=2x+5 g(x)=x^2-3 h(x)=7-x/3

· Compute (f – h)(4).

· Evaluate the following two compositions: (fog)(x) and (hog)(x).

· Transform the g(x) function so that the graph is moved 6 units to the right and 7 units down.

· Find the inverse functions f^-1(x) and h^-1(x).

· Your solutions to the above problems, making sure to include all mathematical work for both problems, as well as explaining each step.

· A discussion of the applicability of functions to the real world, based upon your reading of Chapter 11 of Elementary and Intermediate Algebra. Be sure to use specific examples, a brief discussion of why your examples are important, and to cite your sources.