Given the function f (x) = (x - 5), use composition of functions to show that f

Question:

Given the function f (x) = √(x - 5), use composition of functions to show that f -1(x) = x2 + 5.

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

Step by Step Answer:

Related Book For book-img-for-question

College Algebra Graphs and Models

ISBN: 978-0321845405

5th edition

Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

See More Books

Question Posted: Apr 12, 2016 09:47 AM

See More Questions

Given the function f and the point Q, find all points P on the graph of f such that the line tangent to f at P passes though Q. Check your work by graphing f and the tangent lines. f(x) = 1/x; Q(-2,...
Given the function f and the point Q, find all points P on the graph of f such that the line tangent to f at P passes though Q. Check your work by graphing f and the tangent lines. f(x) = e -x ; Q(1,...
Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point on the graph of f -1 . f(x) = -x 2 + 8; (7, 1)
At the beginning of the year, Anna began a calendar-year business and placed in service the following assets during the year: Asset Date Acquired Cost Basis Computers 1/30 $28,000 Office desks 2/15...
A group of civic-minded merchants in Eldora organized the Committee of 100 for establishing the Community Sports Club, a not-for-profit sports organization for local youth. Each of the committees 100...
A spreadsheet containing Hennes & Mauritzs actual and forecasted financial statements as well as the valuation described in this chapter is available on the companion website of this book. How will...
You are managing a pension fund with a goal of maximizing the long-term growth rate. There are three assets available. Asset 1 has a risk-free return of 5%. Assets 2 and 3 each are driven by...
The following events apply to Pearson Service Co. for 2018, its first year of operation: 1. Received cash of $50,000 from the issue of common stock. 2. Performed $90,000 worth of services on account....
Berkner Health Center provides a variety of medical services. The company is preparing its cash budget for the upcoming third quarter. The following transactions are expected to occur: i (Click the...
Emotional intelligence is more important than rational intelligence in influencing individual success. Do you agree or not with this statement? Explain.
For each function, determine whether it is one-to-one, and if the function is one-to-one, find a formula for its inverse. a. f (x) = - 2 / x b. f (x) = 3 + x2
Given the one-to-one function f (x) = x3 + 2, find the inverse and give the domain and the range of f and of f -1.
Consider the following two-stage model for Table 8.8. The first stage is a logit model with S as the response for the three-way GLS table. The second stage is a logit model with these three variables...
Write about the Biden administration's State of the Union address by taking one side and examining how it affects you as an individual. Discuss the policy, economic accomplishments, what he has done...
A firm produces output according to the production function Q = K1/2 1/2. The demand schedule for the output is P= 20 - Q. If K is fixed at 4 units, what is this firm's short-run demand curve for...
Suppose you wanted to know the mean VO2max in milliliters per kilogram per minute of all females at a university. You randomly select 50 names from the files of the administration office and invite...
Draw an energy flow (LOL Diagram) for each scenario before you attempt to solve. 1. How much potential energy is associated with a 2kg ball that is held in position at the top of an 8 meter- high...
Explanation of the technological platforms applied in ERP enterprise resource planning also in CRM consumer relationship management and in ERP business intelligence consumer relationship management....
A criminal investigator is working to bring two separate and distinct serial killers to justice one who preys on prostitutes and another who targets college students. From previous experience, the...
Determine the resultant moment produced by the forces about point O. 0.25 m 0.125 m, 0 0.3 m- 60 F = 500 N F = 600 N
A road engineer studies a rural two-lane highway and presents this histogram to the County Department of Highways. a. For how many cars was data collected? b. What is the 85th percentile speed? c....
Penny calculates that the deviations from the mean for a data set of eight values are 0, - 40, -78, -71, 33, 36, 42, and 91. a. How do you know that at least one of the deviations is incorrect? b. If...
At Piccolo Pizza Parlor, a large cheese pizza sells for $8.99. Each topping costs an additional $0.50. a. How much will a four-topping pizza cost? b. The Piccolo Extra Special has eight toppings and...
Recommend an optimal improvement to the company's future financial goals.
Your bank account pays a nominal interest rate of 1 1 % , compounded semi - annually. Your plan is to deposit $ 2 , 4 0 0 in the account at the end of each of the next 1 0 years. How much will you...
A partnership has total equity of $464,000. Partnership equity consists of Green, Capital, $324,000, and Tan, Capital, $140,000. Net income and loss is shared in a ratio of 85% to Green and 15% to...

Given the function f (x) = (x - 5), use composition of functions to show that f

Question:

Step by Step Answer:

f 1 f x f 1 fx x 5 2 5 x 5 5 x f f 1 ...View the full answer

College Algebra Graphs and Models

Students also viewed these Linear Algebra questions