The two lines pictured at right are f (x) = 2x - 1 and g(x) = 1/2

Question:

The two lines pictured at right are f (x) = 2x - 1 and g(x) = 1/2 x + 1/2. Solve each problem both graphically and numerically.

a. Find g( f (2)).
b. Find f (g(- 1)).
c. Pick your own x-value in the domain of f, and find g( f (x)).
d. Pick your own x-value in the domain of g, and find f (g(x)).
e. Carefully describe what is happening in these compositions.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discovering Advanced Algebra An Investigative Approach

ISBN: 978-1559539845

1st edition

Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke

See More Books

Question Posted: May 17, 2016 06:41 AM

See More Questions

In this section we state that two lines, neither of which is vertical, are perpendicular if and only if their slopes have a product of -1. we outline a partial proof of this for the case where the...
In this section we state that two lines, neither of which is vertical, are perpendicular if and only if their slopes have a product of -1. we outline a partial proof of this for the case where the...
In this section we state that two lines, neither of which is vertical, are perpendicular if and only if their slopes have a product of -1. we outline a partial proof of this for the case where the...
Suppose that, in an attempt to raise more revenue, Nowhere State University (NSU) increases its tuition. Will this necessarily result in more revenue? Under what conditions will revenue (a) rise, (b)...
On March 15, 20X9, Troy, Peter, and Sarah formed Picture Perfect general partnership. This partnership was created to sell a variety of cameras, picture frames, and other photography accessories....
Water Technology, Inc. incurred the following costs during 20x1. The company sold all of its products manufactured during the year. Direct material...
The composite pressure vessel in Problem 8.6 is subjected to an internal pressure that varies sinusoidally with time according to the relationship $p(t)=P_{0}$ $\sin t$, and the principal complex...
Dutch Hollow Electronics issues a $400,000, 8%, 10-year mortgage note on December 31, 2011. The proceeds from the note are to be used in financing a new research laboratory. The terms of the note...
In her Ted talk, Kristi Rogers talks about the future of advertising and why it's crucial for ads to be relevant. She points out that even though we have lots of data and technology for digital ads,...
World Gourmet Coffee Company (WGCC) is a distributor and processor of different blends of coffee. The company buys coffee beans from around the world and roasts, blends, and packages them for resale....
The graph of the function y = g(x) is shown at right. Draw a graph of each of these related functions. a. y = g(x) b. y = | g(x) | c. y = (g(x))2
Sketch a graph that shows the relationship between the time in seconds after you start microwaving a bag of popcorn and the number of pops per second. Describe in words what your graph shows.
Based on the illustrations in Figure 23.23, can you describe the three stages of development in an alpine valley? What stage is associated with fiords and where in the world would we such features?...
The equation for the marginal productivity of capital is given by: MPKf = 1.000 -10 K The price of one unit of capital is 2,000.The depreciation rate is: 55% annually.The real interest rate is 15%...
How is globalization changing overall power between states and citizens?Articulate your stance. An argumentative essay is a type of essay that presents arguments on both sides of an issue.It may be...
How do epigenetic modifications, such as DNA methylation and histone acetylation, regulate gene expression and cellular phenotypes, and what are the implications of epigenetic inheritance in...
Relational satisfaction Conceptual Definition - "Relational satisfaction is defined as...( your answer ) Three Likert Scale examples to measure relational satisfaction are...( your answer ) Three...
Please visit The Black Girls Code(Links to an external site.) website and, using Warschauer, discuss whether or not you believe this is an example of technology for social inclusion initiative? How...
For the following exercises, use the definition of derivative to calculate the derivative of each function. lim h0 f(x+h)-f(x) h
Draw a Feynman diagram for the reaction n + v p + .
Use a graphing calculator to construct a table of values and a graph for the first 10 terms of the sequence with general term an = n + 1 / n + 2 .
Find the first 4 terms of the recursively defined sequence a1 = 3, an + 1 = 2 + 1 van .
Find the 15th term of the arithmetic sequence 2, 5, 8, c.
Blair, CPA, uses the cash receipts and disbursements method of reporting. In Year 7, a client gave Blair 100 shares of a listed corporation's stock in full satisfaction of a $5,000 accounting fee the...
What is driving the increase in the price of healthcare services today? Explain why it is important to know the scope of business being reviewed when using financial statements. Explain the content...
What is a discount? How do you activate discounts? Activate discounts: Assign a discount account: 3. Discounts Given - What is the account type and detail type for this account?

The two lines pictured at right are f (x) = 2x - 1 and g(x) = 1/2

Question:

Step by Step Answer:

a g f2 g3 2 Solve graphically When x 2 the corresponding yvalue on line f is 3 Use the out...View the full answer

Discovering Advanced Algebra An Investigative Approach

Students also viewed these Linear Algebra questions