We define the following functions:

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) . 

Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example 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.