# Compositions and Inverses

Jack Lewis

Mat 222

Instructor: Dr. Dariush Azimi

January 14, 2013

Composition and Inverse

The assignment paper for this week is to define the following functions of Elementary and Intermediate Algebra: Problem number 1) fx=2x+5, Problem number 2) gx=x2- 3, and Problem number 3) hx= 7-x3. Compute (f – h)(4).

Evaluate the following two compositions: and .

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

1. 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. * 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 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.

INSTRUCTOR GUIDANCE EXAMPLE: Week Five Assignment

Composition and Inverse

We are working with the following functions:

f(x) = 5x – 3 g(x) = x2 + 2 h(x) = 3 + x

7

We have been asked to compute (f – h)(4).

(f – h)(4) = f(4) – h(4) So we can evaluation each separately and then subtract.

f(4) = 5(4) – 3

= 20 – 3 = 17 f(4) = 17

h(4) = (3 + 4)/7

= 7/7 = 1 h(4) = 1

(f – h)(4) = 17 – 1 = 16 This is our answer.

Next we are to compose two pairs of the functions into each other. First we will...

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