Read the following instructions in order to complete this assignment: We define the following...

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Read the following instructions in order to complete this assignment:  	We define the following functions:   	Compute (f – h)(4).  	Evaluate the following two compositions:      	Transform the g(x) function so that the graph is moved 6 units to the right and 7 units down.  	Find the inverse functions:  Write a two to three page paper and format your math work as shown in the example attached (PDF file) and be concise in your reasoning
	
Document Preview: Composition and InverseRead the following instructions in order to complete this assignment:We define the following functions:Compute (f – h)(4). Evaluate the following two compositions: Transform the g(x) function so that the graph is moved 6 units to the right and 7 units down. Find the inverse functions:Write a two to three page paper and format your math work as shown in the example attached (PDF file) and be concise in your reasoning. In the body of your essay, please make sure to include: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. The paper must be at least two pages in length and formatted according to the example in PDF. Cite your resources in text and on the reference page.

David · Accepted Answer

We are working with the following functions: 
                      2
7
2 5,    3,     ,
3
x
f x x g x x h x

      
We have been asked to compute   4f h . 
                 4 4 4f h f h                  So we can evaluation each separately and    
                                                               then subtract. 
          
   
 
4 2 4 5
8 5 13                                 4 13
f
f
 
   
    
            
 
 
7 4
4
3
3
1                                       4 1
3
h
h


  
 
               4 13 1 12f h                     This is our answer.
Next we are to compose two pairs of the functions into each other. First we will 
work out 
           fog x f g x                         This means the rule of f will work on .g  
                    2 3f x                          Here f is now going to work on the rule of .

Read the following instructions in order to complete this assignment: We define the following functions: Compute ( f – h )(4). Evaluate the following two compositions: Transform the g(x) function so...

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