For the function f, use composition of functions to show that f-1 is as given. a. f(x)
Question:
a. f(x) = 7/8 x, f-1(x) = 8/7 x
b. f(x) = (x + 5) / 4, f -1(x) = 4x - 5
c. f(x) = (1 - x)/x, f -1(x) = 1/(x + 1)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (11 reviews)
a We find f 1 f x and f f 1 x and check to see that each is x f 1 ...View the full answer
Answered By
Susan Juma
I'm available and reachable 24/7. I have high experience in helping students with their assignments, proposals, and dissertations. Most importantly, I'm a professional accountant and I can handle all kinds of accounting and finance problems.
4.40+
15+ Reviews
45+ Question Solved
Related Book For
College Algebra Graphs and Models
ISBN: 978-0321845405
5th edition
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
Question Posted:
Students also viewed these Linear Algebra questions
-
Given the function f (x) = (x - 5), use composition of functions to show that f -1(x) = x2 + 5.
-
For the function f, use composition of functions to show that f -1 is as given. a. f (x) = 6x - 5, f -1(x) = (x + 5) / 6 b. f (x) = (x + 1) / x, f -1(x) = 1/(x - 1)
-
Use composition of functions to show that f -1 is as given: f (x) = -4x + 3, f -1(x) = (3 - x) / 4.
-
Kamloops Company is a grocery wholesaler and is planning to expand its operations. The company has asked the bank for a loan to finance the expansion. Alphonzo, the companys manager, has prepared the...
-
Chris Inc. has accumulated the following information for its second-quarter income statement for 20X2: Sales ......... $850,000 Cost of goods sold .... 420,000 Operating expenses ... 230,000...
-
Suppose a geyser has a mean time between eruptions of 74 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 26 minutes, answer the following...
-
Ethylene glycol at 100,000 \(\mathrm{lb} / \mathrm{hr}\) enters the shell of a 1-6 shell-and-tube heat exchanger at \(250^{\circ} \mathrm{F}\) and is cooled to \(130^{\circ} \mathrm{F}\) with cooling...
-
The partnership of W, X, Y, and Z has the following balance sheet: Z is personally insolvent, and one of his creditors is considering suing the partnership for the $5,000 that is currently due. The...
-
On December 31, 2024, Shamrock Corporation signed a 5-year, non-cancelable lease for a machine. The terms of the lease called for Shamrock to make annual payments of $8,215 at the beginning of each...
-
Please solve this problem using C language Hacker Industries has a number of employees. The company assigns each employee a numeric evaluation score and stores these scores in a list. A manager is...
-
Each graph in Exercises is the graph of a one-to-one function f. Sketch the graph of the inverse function f-1. a. b. c. 3(5,3) 5-4-3-2-L2 3 45 x (2-3) 5 (2,5) (-4,2)3 /"YI. 3) 4-3-2-112 3 4 5 T 2 3 |...
-
Find the inverse of the given one-to-one function f. Give the domain and the range of f and of f-1, and then graph both f and f-1 on the same set of axes. a. f(x) = 5x - 3 b. f(x) = 2 - x c. f(x) =...
-
Tom, Dick and Harry were in partnership, sharing profits and losses in the ratio 3:2:1, respectively. Business profits have been falling consistently over the past few years and the partners have...
-
Blossom Company has been operating for several years, and on December 31, 2025, presented the following balance shee BLOSSOM COMPANY Balance Sheet December 31, 2025 Cash $44,000 Accounts payable...
-
Year 0 1 8. Calculate the IRR and NPV for the following cash flows. Assume a 9% discount rate Project 2 Cash flow -$32,000 20,000 Project 1 Cash flow -$32,000 2,000 2 4,000 15,000 3 5,000 5,000 4...
-
One of the main principles behind mainstream, neoclassical economic theory, is that individuals act to maximize their utility. A utility is generally defined as a satisfaction (pleasure) that an...
-
Ill. For each transaction listed below for 2022 and 2023: Indicate the net effect of the transaction on: A (Assets), L (Liabilities), SE (Stockholders' Equity), and NI (Net Income). Use: + for...
-
The COVID-19 pandemic dealt a massive blow to the Australian economy in the first half of 2020. The tourism and education sectors, two of the top exporting industries in Australia, were brought down...
-
The issued share capital of Soresson plc consists of 1,000,000 ordinary shares of 50p each and 250,000 6% preference shares of 1 each.. In the year to 31 March 2020, the company's profit after tax...
-
Which task is performed by a book-keeper? A. Analysing the trading results B. Entering transactions in the ledger C. Preparing year-end financial statements D. Providing information for...
-
Hooke's Law states that the length L of a spring is a linear function of the force F applied to it. (See Figure 7.1 7 and Example 6.92.) Accordingly, there are constants a and b such that L = a + bF...
-
Table 7.5 gives life expectancies for people born in the United States in the given years. (a) Determine the least squares approximating line for these data and use it to predict the life expectancy...
-
When an object is thrown straight up into the air, Newton's Second Law of Motion states that its height s (t) at time t is given by S(t) = s0 + v0t + 1/2gt2 where v0 is its initial velocity and g is...
-
Characterize the nature of motivation, including its importance and focus Identify and describe the need theories on motivation. Identify and describe the behavior theories on motivation. Identify...
-
Calculate the amount that Astrid should withdraw from her college savings fund of $21000 if she wishes to withdraw equal amounts at the end of each month for four years. The annual nominal interest...
-
Jason borrows $ 10300 for the next 4 years at a variable interest rate. Assume that the interest accumulates for 4 years at an annual nominal rate of 11% compounded quarterly. Calculate the...
Study smarter with the SolutionInn App