Composition and Inverse

Read the following instructions in order to complete this assignment:

1.We define the following functions:

f(x) = 2x+5 g(x)=x^2-3 h(x)=(7-x)/3

oCompute (f h)(4).

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

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

oFind the inverse functions f-1(x) and h-1(x).

2.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:

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

oA 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 APA style. Cite your resources in text and on the reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.