A function f is defined as a. Find an expression, in terms of x, for f(x) and
Question:
A function f is defined as
a. Find an expression, in terms of x, for f´(x) and explain how your answer shows that f is a decreasing function.
b. Find an expression, in terms of x, for f−1(x) and find the domain of f−1.
c. On a diagram, sketch the graph of y = f(x) and the graph of y = f−1(x) , making clear the relationship between the two graphs.
Transcribed Image Text:
f(x): = 4 2x + 1 for x 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
a To find an expression for fx we need to differentiate fx with respect to x fx 42x1 fx ddx42x1 82x1...View the full answer
Answered By
Darwin Romero
I use a hands-on technique and am approachable to my students. I incorporate fun into my lessons when possible. And while my easy-going style is suitable for many subjects and grades, I am also able to adapt my style to the needs of the student. I can describe myself as friendly, enthusiastic and respectful. As a teacher, we can easily get respect from the students if they would feel respected first
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Find an expression in terms of the animal interest rate convertible quarterly for the accumulated value at the end of the twenty-one years of an annuity that pays $640 at the beginning of each...
-
A function f is defined as f(x) = (2x + 5) 2 3 for x 0. Find an expression for f(x) and explain why f is an increasing function.
-
A function f is defined by f(x) = |2x - 6| - 3, for - 1 x 8. a. Sketch the graph of y = f(x). b. State the range of f. c. Solve the equation f(x) = 2.
-
Multiple Choice Questions 1. If a company has a $25,000 reduction in sales and an increase of $7,000 in fixed costs with a contribution margin ratio of 34 percent, by how much will net income change?...
-
Which element of the COSO ERM framework is most closely associated with each of the following? a. ALG Corporation bonds key employees. b. Based on previous experience, TRG Corporations management...
-
A building contractor has decided to purchase a load of factory-reject aluminum siding as long as the average number of flaws per piece of siding in a sample of size 35 from the factory's reject pile...
-
The turbine shown in Fig. P5.114 develops \(100 \mathrm{hp}\) when the flowrate of water is \(20 \mathrm{ft}^{3} / \mathrm{s}\). If all losses are negligible, determine (a) the elevation \(h\), (b)...
-
The Chemco Company uses a highly toxic chemical in one of its manufacturing processes. It must have the product delivered by special cargo trucks designed for safe shipment of chemicals. As such,...
-
The current tourism industry booms in Australia had given the HR department at ANIBT Hotel the opportunity to employ a very diverse range of ethnic employees for all levels of the industry. This...
-
The Second Best Discount Store is considering rearranging its stockroom to improve customer service. Currently, stock pickers are given customer orders to fill from six warehouse areas. Movement...
-
Find the shaded area enclosed by the curve y = 2x, the line x + y = 8 and the x-axis. 0 y = 25 x+y=8
-
A line has equation y = 2x + c and a curve has equation y = 8 2x x 2 . i. For the case where the line is a tangent to the curve, find the value of the constant c. ii. For the case where c = 11,...
-
Required Explain how each of the following events or series of events and the related adjusting entry will affect the amount of net income and the amount of cash flow from operating activities...
-
Inc. settled an overdue account in the amount of $2,000 on January 16 with YYY Company. The customer signed a 30-day promissory note bearing 6% to the lender. What would be the JEs for both companies...
-
Continuing with Bolt data in the previous problem, assume Bolt budgeted a 10.0% share sales of total bolt products in the local market. Reliable industry data indicates that the actual total number...
-
Mary and Joseph are married with 2 children: Jesse, age 1 5 , and Jessica, age 8 . For the current year, the couple s taxable income is $ 3 0 0 , 0 0 0 . What is their tax credit amount related to...
-
Walaa Insurance Company has a surplus reinsurance treaty with Munich Re reinsurance company with retention limit of 1,500,000 SR from the sum insured. The maximum capacity of the surplus treaty is 8...
-
Eddie slick Haskell needs your tax advice regarding a recent stock transaction that didnt turn out the way he planned. On January 20, 2021, Slick purchased 100 shares of Tesla stock (ticker TSLA) for...
-
The following requirements relate to Ms. Stitt's testimony about the CanWest non-compete payments: (a) The concept of a "related party" is defined by generally accepted accounting principles (GAAP)....
-
Archangel Corporation prepared the following variance report. Instructions Fill in the appropriate amounts or letters for the question marks in the report. ARCHANGEL CORPORATION Variance...
-
Suppose we want to compute a two-sided p-value for this comparison. Without doing any further calculation, which statement(s) must be false? (1) p = .01 (2) p = .04 (3) p = .07 (4) p = .20 (The...
-
A major hypothesis of the study is that women with high phenacetin intake would show a greater change in serum-creatinine level compared with women with low phenacetin intake. Can you assess this...
-
One hypothesis is that analgesic abusers would have different serum-creatinine profiles at baseline. Using the data from the baseline visit, can you address this question?
-
On April 7, 2023, an auditor noticed that UGL Inc. accidentally recorded a rent expenditure of $41,000 as an expense instead of as prepaid. The purchase was made on the last day of the 2022 fiscal...
-
What Mapping Microsoft Windows and applications into a typical IT infrastructure is? What common Windows thread and Vulnerabilities are?
-
Lucy purchases a house in Ann Arbor for 700,000 at the beginning of this year. At that time, the house had a taxable value to the prior owner of 300,000. Lucy will use this house as a second home for...
Study smarter with the SolutionInn App