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....
Reconstructing events from journal entries. Give the likely transaction or event that would result in making each of the independent journal entries that follow: a. Accumulated Other Comprehensive...
IMAC Company produces three products by a joint-production process. Raw materials are put into production in process A, and three products appear at the end of this process. Product X is immediately...
Joan Messineo borrowed $15,000 at a 14% annual rate of interest to be repaid over 3 years. The loan is amortized into three equal, annual, end-of-year payments. a. Calculate the annual, end-of-year...
QS 18-21 (Algo) Sales mix and break-even LO P3 US-Mobile manufactures and sells two products, tablet computers (60% of sales) and smartphones (40% of sales). Fixed costs are $1,080,000, and the...
In a double-blind study, researchers tested whether small doses of caffeine would improve highly trained male cyclists times in a hot environment (95F, 25% humidity). The individuals were 9 highly...
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.
Long term transport. We wish to know the total transport of sand in an eolian system over the course of an entire year. You know that the threshold shear velocity for entrainment is u* = 0.3 m/s for...
Haley Romeros had just been appointed vice president of the Rocky Mountain Region of the Bank Services Corporation (BSC). The company provides check processing services for small banks. The banks...
Draw a simple but complete hydraulic circuit diagram to drive two actuators, one of which must be connected to a pressure reducing valve to control its pressure because of the delicacy of the task...
1. What specific skills would a person have to be a successful director for a parks and recreation position? 2. What experience would a person have working with an elected board for parks and...
Required labor time per unit ( hours ) Maximum demand ( units ) Contribution margin per unit Product M 2 6 , 5 0 0 $ 5 . 0 0 Product N 3 8 , 0 0 0 $ 5 . 7 0 If Bush uses the most effective approach...
ansewr pls Repeat Exercise 5.8.1 using (a) one rectangle; (b) four rectangles. Data From Exercise 5.8.1 A square plate size $100 \mathrm{~cm} \times 100 \mathrm{~cm}$ is subjected to an isothermal...
Give the products formed in the reaction of 1-hexene with each of the following compounds in the presence of the Grubbs G2 catalyst. (a) An excess of allyl alcohol (2-propen-1-ol) (b) An excess of...
Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes. 6 in. 9 in. 9 in- 4.5 in. in. 4.5 in.
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.
The company sold merchandise to a customer on March 31, 2020, for $100,000. The customer paid with a promissory note that has a term of 18 months and an annual interest rate of 9%. The companys...
imer 2 0 2 4 Question 8 , PF 8 - 3 5 A ( similar to ) HW Score: 0 % , 0 of 1 0 0 points lework CH 8 Part 1 of 6 Points: 0 of 1 5 Save The comparative financial statements of Highland Cosmetic Supply...
An investor wants to purchase a zero coupon bond from Timberlake Industries today. The bond will mature in exactly 5.00 years with a redemption value of $1,000. The investor wants a 12.00% annual...

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