The function f(x) = k(2 x x3) has an inverse function, and f1(3) = 2.

Question:

The function f(x) = k(2 − x − x3) has an inverse function, and f−1(3) = −2. Find k.

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

Step by Step Answer:

Related Book For book-img-for-question

Algebra and Trigonometry

ISBN: 978-1337271172

10th edition

Authors: Ron Larson

See More Books

Question Posted: Feb 14, 2018 02:13 AM

See More Questions

Determine the value of c such that the function f (x, y) = cxy for 0 < x < 3 and 0 < y < 3 satisfies the properties of a joint probability density function. Determine the following: (a) P(X <2, Y <3)...
Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density function over the range 0 < x < 3 and x < y < x + 2. Determine the following: (a) P(X <1, Y <2) (b)...
Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density function over the range 0 < x < 3 and 0 < y < x. Determine the following: (a) P(X <1, Y <2) (b) P(1 <...
Find the probability | (p)| 2d3 p of the particular momentum p for the ground-state hydrogen atom. (This is a nice exercise in three-dimensional Fourier transforms. To perform the angular...
A cannery is considering installing an automatic case sealing machine to replace current hand methods. If they purchase the machine for $3800 in June, at the beginning of the canning season, they...
Write each rational expression in lowest terms. 4x(x + 3) 8x(x 3)
The use of statistical sampling in a financial statement audit does not eliminate the need for professional judgment. Required: Identify and explain four areas where judgment may be exercised by an...
Wheeled Coach, the worlds largest manufacturer of ambulances, builds thousands of different and constantly changing configurations of its products. The custom nature of its business means lots of...
In divisional income statements prepared for Demopolis Company, the Payroll Department costs are charged back to user divisions on the basis of the number of payroll distributions, and the Purchasing...
Write a program that reads a graph from a file and determines whether the graph is connected. The first line in the file contains a number that indicates the number of vertices (n). The vertices are...
Prove that if f is a one-to-one odd function, then f1 is an odd function.
Consider the functions f (x) = x + 2 and f1(x) = x 2. Evaluate f (f1(x)) and f1(f (x)) for the given values of x. What can you conclude about the functions?
Stilley Corporation had earnings after taxes of $436,000 in 2013 with 200,000 shares outstanding. The stock price was $42.00. In 2014, earnings after taxes declined to $206,000 with the same 200,000...
Brenda Roberts, Lacy Peters, and Aarin MacDonald are partners in RPM Dance Studios. They share profit and losses in a 40:40:20 ratio. Aarin retires from the partnership on October 14, 2023, and...
What is the amount of increase in Wright Stewart's total stockholders' equity for the year ended December 31, 2022?
The following information is available for Bandera Manufacturing Company for the month ending January 31: Cost of goods manufactured $214,880 Selling expenses 71,780 Administrative expenses 37,950...
Given that f(x)=-2x3-3e-4, what is the anti-derivative of (x)? (Do not include the constant C in your answer.) Provide your answer below.
Jake, Sacha, and Brianne own a tour company called Adventure Sports. The partners share profit and losses in a 2:3:5 ratio. After lengthy disagreements among the partners and several unprofitable...
Raju is a price-taker in a competitive product market. The current market price is $80 per unit, and Rajus desired profit is 20% of market price. Using target costing, what is the highest Rajus costs...
Rosalie owns 50% of the outstanding stock of Salmon Corporation. In a qualifying stock redemption, Salmon distributes $80,000 to Rosalie in exchange for one-half of her shares, which have a basis of...
Researchers surveyed 19,183 U.S. physicians, asking for the information below. Location (region of the U.S.) income (dollars) employment status (private practice or an employee) benefits received...
What are some benefits of representing data sets using frequency distributions? What are some benefits of using graphs of frequency distributions?
Why should the number of classes in a frequency distribution be between 5 and 20?
Suppose the exchange rate between U.S. dollars and BritishPounds is $1.00 = 1.75 Pounds and the exchange rate between theU.S. dollar and the euro is $1.00 = 1.35 euros. What is thecross rate of the...
What are the mechanisms by which organizations learn and transfer knowledge across different departments or divisions, and how can these processes be optimized?
4 2 The rank of the matrix 5 k (1-x) 1 6 3 (1+x) 4 2 (1-x) 1 5 k 6 3 (1+x) is 1. then 1

The function f(x) = k(2 x x3) has an inverse function, and f1(3) = 2.

Question:

Step by Step Answer:

If fX k2 x x 3 has an i...View the full answer

Algebra and Trigonometry

Students also viewed these Calculus questions