If f(x) = 4x 2 + x + 2 and g(x) = 2x 2 + 2x
Question:
If f(x) = 4x2 + x + 2 and g(x) = 2x2 + 2x − 1, determine an explicit expression for the following composite functions.
a. (g ◦ f )(x)
b. (f ◦ g)(x)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
a g f x gf x 24x 2 x 2 2 24x ...View the full answer
Answered By
Lilian Nyambura
Hi, am Lilian Nyambura, With extensive experience in the writing industry, I am the best fit for your writing projects. I am currently pursuing a B.A. in Business Administration. With over 5 years of experience, I can comfortably say I am good in article writing, editing and proofreading, academic writing, resumes and cover letters. I have good command over English grammar, English Basic Skills, English Spelling, English Vocabulary, U.S. English Sentence Structure, U.K. or U.S. English Punctuation and other grammar related topics. Let me help you with all your essays, assignments, projects, dissertations, online exams and other related tasks. Quality is my goal.
4.80+
378+ Reviews
750+ Question Solved
Related Book For
Introduction To Actuarial And Financial Mathematical Methods
ISBN: 9780128001561
1st Edition
Authors: Stephen Garrett
Question Posted:
Students also viewed these Sciences questions
-
Internet search and find a case that went to court where the tort of negligence was committed. Briefly summarize the case and include a reputable link in your post to support it.
-
A horizontal strip lying in the xy plane is of width d in the y-direction and infinitely long in the x-direction. If the strip is in air and has a uniform charge distribution s, use Coulombs...
-
If f (x) = exp(x), g(x) = 4x, and h(x) = sin x, state the following composite functions and derive an expression for the derivative with respect to x in each case. a. (f g)(x) b. (g h)(x) c. (f g ...
-
After pollen lands on a stigma, it is far away from the ovule with the megagametophyte, which holds the egg (the megagamete). How are the two sperm cells transported from the stigma to the egg?
-
Is treasury stock an asset? If not, why not?
-
A 4-lb collar which can slide on a frictionless vertical rod is acted upon by a force P which varies in magnitude as shown. Knowing that the collar is initially at rest, draw impulse-momentum...
-
2 Cross-cultural negotiations are fundamentally different from domestic negotiations. What are the main differences? What communication problems arise as a result? How can the problems be overcome?
-
Consider the business event processing activity, entering a customers order. Identify the key business event data ( who, what, where, and when) you would want to capture.
-
The following financial statements and information are available for Blythe Industries, Incorporated. Balance Sheets As of December 31 Year 2 Year 1 $166,200 107, 100 193,400 285,000 674,000...
-
If f (x) = 2x 2 + 2 and g(x) = x 3 + 2x + 1 demonstrate that functions resulting from the following are also polynomial. State the order of the resulting polynomial function in each case. a. f(x) +...
-
It is often convenient to define the following functions that are based on the standard circular functions. Explore each function and, in each case, comment on the following properties. i. Domain ii....
-
Find all points of intersection of the given curves. r = sin , r = 1 - sin
-
The accounting records of the Eco Paper Company include the following information relating to the current year ended 31 March 2023: Materials 31 March 2023 $20,000 1 April 2022 $25,000 Work in...
-
The first read is an article on the development of money of a World War II prisoner-of-war, which was published in 1945. The second article was published in the opinion section of the New York Times...
-
Describe each Speaker's basic assumptions regarding employee motivation. That is, what are the underlying principles which guide how the Speaker treats his/her people (i.e., their direct report...
-
Find the area of the shaded region. The graph to the rate of IQ scores of adults, and those scores are normally distributed with the mean of 100 and a standard deviation of 15. x=81
-
In which scenario is Nikki showing resilience to stress? Nikki lost her job as an engineer 3 months ago. At first, she was depressed, but she realized she wanted to change career paths and decided to...
-
Flux across a surface of constant x is often loosely called 'flux in the x direction'. Use your understanding of vectors and one-forms to argue that this is an inappropriate way of referring to a...
-
CLASS PERIO Solving Linear Equations: Variable on Both Sides Solve each equation. 1) 6r+ 7 = 13 + 7r 3) -7x-3x+2=-8x-8 5)-14 +66+7-26=1+5b 7) n-3n = 14-4n 2) 13-4x=1-x 4)-8-x= x - 4x 6)n+2=-14-n 8)...
-
Each of the three vinylic protons of styrene is split by the other two, and the J values are found to be J ab = 11 Hz, Jac = 17 Hz, and J bc = 1 Hz. Using this information, draw the expected...
-
Draw the expected 1 H NMR spectrum for each of the following compounds: (a) (b) (c) H.
-
Draw all constitutional isomers with molecular formula C 3 H 8 O, and rank them in terms of increasing acidity.
-
Justice Corporation Comparative Balance Sheet December 31, 2025 and 2024 2025 2024 Assets Current Assets: $ Cash and Cash Equivalents 2,254 $ 1,876 Justice Corporation reported the following...
-
The Fields Company has two manufacturing departments forming and painting. The company uses the FIFO method of process costing at the beginning of the month the forming department has 33.000 units in...
-
A comparative balance sheet for Lomax Company containing data for the last two years is as follows: Lomax Company Comparative Balance Sheet This Year Last Year $ 96,000 $ 70,000 640,000 672,500...
Study smarter with the SolutionInn App