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:

Related Book For answer-question

Introduction To Actuarial And Financial Mathematical Methods

ISBN: 9780128001561

1st Edition

Authors: Stephen Garrett

See More Books

Question Posted: Dec 04, 2023 08:09 AM

See More 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?
Alter the Diamond-Dybvig model in the following way. Suppose that there are two assets, an illiquid asset that returns 1+r units of consumption goods in period 2 for each unit invested in period 0,...
Plaintiffs W. O. and J. C. Lucy had wanted to purchase Ferguson Farm from the Zehmers for at least eight years. One night, Lucy stopped by the establishment the Zehmers operated and said that he bet...
Tory, Becky, Hal, and Jere form TBHJ Partnership as equal owners. TBJH Partnership rents heavy tools and equipment. Becky and Hal are married to each other while Tory and Jere are brothers but are...
Create this gui on java that supports rational calculations using this code as the logic, make it look like the picture below. Will thumbs up . public class Rational extends Object implements...
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....
An analysis of the accounts of Manning Manufacturing reveals the following data for the month ended February 28, 201X: Costs Incurred: Raw materials purchased, $134,000; direct labor, $126,000;...
You are working in your company's "2018 Sales" Workbook with each column widened and a color graph. When you add a worksheet "2018 Profit," how will the new worksheet appear? with the same column...
When will a merchandising company recognize revenue? a.When merchandise with the terms FOB destination is shipped. b.When merchandise with the terms FOB destination is in transit. c.When merchandise...
For the last two years, Margaret Lane has Invested in the shares of Garod Inc. Details of her purchases and sales of these shares are as follows: Shares Purchased (Sold) Per Share Value January 2020...
Suppose you are running a business and incur the following monthly expenses: labor costs are $80,000; raw materials and business supplies are 30,000; equipment leasing expenses are $7,000; finance...
What is the annual deposit required to pay out 10,000 EUR after five years? Interest of 5 per cent per annum is compounded annually. Ann has given 5,000 EUR to a bank on 20 October 2003, and she...
Eloise is hired as a pharmacist and signs an employment agreement that includes a provision stating that she will submit any employment disputes to arbitration. After being on the job for three...
How do individual companies respond to economic forces throughout the globe? One way to explore this is to see how well rates of return for stock of individual companies can be explained by stock...
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.
Penaga Indah has a machine with a cost of RM700,000. This machine is used in the company's operation and is expected to be used only for the next three years. The company estimates the present value...
In 2020, Broadcom paid $13 per share in dividends. We will estimate the value of Broadcom stock using a 10% required. rate of return and assuming that dividends will grow for the next three years at...
The market risk premium is 8 percent and the risk-free rate is 4 percent. (Do not round intermediate calculations. Enter the standard deviations as a percent and round all answers to 2 decimal...

If f(x) = 4x 2 + x + 2 and g(x) = 2x 2 + 2x

Question:

Step by Step Answer:

a g f x gf x 24x 2 x 2 2 24x ...View the full answer

Introduction To Actuarial And Financial Mathematical Methods

Students also viewed these Sciences questions