In Problems 9 and 10, verify that the functions f and g are inverses of each other
Question:
In Problems 9 and 10, verify that the functions f and g are inverses of each other by showing that f (g( x)) = x and g( f (x)) = x. Give any values of x that need to be excluded from the domain of f and the domain of g.
Transcribed Image Text:
f(x) = 5x - 10: g(x) = x + 2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
To verify that the functions f and g are inverses of each other we need to show that fgx x an...View the full answer
Answered By
Collins Njuguna
I graduated from Maseno University with a Bachelor of Science in Applied Statistics. After graduation, I started tutoring students in mathematics. My experience in mathematics education is extensive and varied. I have taught a wide range of topics, including algebra, geometry, trigonometry, calculus, statistics, probability, and computer science. I have also worked with students of all ages and backgrounds, from elementary school to college.
My teaching method is based on the idea of hands-on learning. I believe that students learn best when they are actively engaged in the learning process, so I focus on giving students the tools they need to explore the material on their own. I also emphasize the importance of practice and review, as these are essential for mastering math concepts.
I have also developed several online and in-person courses on mathematics. My courses are designed to help students learn mathematics in an efficient and comprehensive way, and I use a variety of activities and exercises to ensure that my students are engaged and motivated.
Overall, my passion for mathematics and teaching has allowed me to be a successful tutor and educator in the field. I am confident that my experience will help your students master the mathematics they need to succeed.
0.00
0 Reviews
10+ Question Solved
Related Book For
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry
ISBN: 9780137945139
5th Edition
Authors: Michael Sullivan
Question Posted:
Students also viewed these Mathematics questions
-
In problem, verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x. Give any values of x that need to be excluded from the domain of f and the domain...
-
In problem, verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x. Give any values of x that need to be excluded from the domain of f and the domain...
-
In problem, verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x. Give any values of x that need to be excluded from the domain of f and the domain...
-
The JoFe Computers and Accessory Company produces two types of laptop computer bags. Version A costs $32, takes 4 hours of labor, and sells for $50. Version B costs $38, takes 6 hours of labor, and...
-
Taras Card and Novelty Shop is a retail card, novelty, and business supply store. Taras Card and Novelty Shop commenced business on April 1, 2016. The firm purchases merchandise on open account. The...
-
Hi- Tek is a retailer of computer equipment in the greater Chicago region with four retail outlets. Currently, each outlet manages its ordering independently. Demand at each retail outlet averages...
-
A company called CRW runs credit checks for a large number of banks and insurance companies. Credit history information is typed into computer files by trained administrative assistants. The company...
-
A crate of 45.0-kg tools rests on a horizontal floor. You exert a gradually increasing horizontal push on it and observe that the crate just begins to move when your force exceeds 313 N. After that...
-
How to apply cross-sectional data analysis in financial management?
-
During the second half of December 20-1, TJ's Specialty Shop engaged in the following transactions: Dec. 16 Received payment from Lucy Greene on account, $1,960. 16 Sold merchandise on account to Kim...
-
In Problems 5 44, solve each logarithmic equation. Express irrational solutions in exact form. log4(x + 12) = log4
-
True or False In (x + 3) In (2x) = In(x + 3) In(2x)
-
The director of the marketing department stormed into the internal auditing department, threw his copy of an audit report onto the audit manager's desk, and yelled, "How I manage my department is my...
-
Ja-San Company was started on January 1,2007, when the owners invested \($160,000\) cash in the business. During 2007, the company earned cash revenues of \($90,000\) and incurred cash expenses of...
-
Write a program using the programming language of your choice to implement the representation you designed for Review Question 3.3. Have your program solve the problem, and have it show on the screen...
-
All the lenses in Figure P33.98 are surrounded by air. Which of the lenses are converging, and which are diverging? Data from Figure P33.98 A B C D E F )(II)
-
Change the Growth and GrowthDriver classes described in the Improved Accuracy and Efficiency. Using a Step-with-Midpoint Algorithm subsection. Run your modified program with these inputs: For your...
-
For the three-element series circuit in Fig. 9-39, (a) Find the current I; (b) Find the voltage across each impedance and construct the voltage phasor diagram which shows that V 1 + V 2 + V 3 = 100 0...
-
The following facts pertain to a non-cancelable lease agreement between Alschuler Leasing and McKee Electronics, a lessee, for a computer system. Commencement date October 1, 2019 Lease...
-
(8%) Problem 6: A student attaches a f= 3.5 kHz oscillator to one end of a metal rail of length L = 25 m. The student turns on the oscillator and uses a piezoelectric gauge at the other end to...
-
In problem, analyze each polynomial function f by following Steps 1 through 8. f(x) = x 3 + 0.2x 2 - 1.5876x - 0.31752
-
In problem, analyze each polynomial function by following Steps 1 through 6. f(x) = x 2 (x 2 + 1)(x + 4)
-
In problem, find the complex zeros of each polynomial function f(x).Write f in factored form. f(x) = 3x 4 + 3x 3 - 17x 2 + x - 6
-
Production numbers for 2 shifts are shown. The shift supervisor of Shift 2 insists to the production manager that her operators are more productive than the ones on Shift 1. Using a confidence level...
-
In a class, the scores that students got are as shown. What are the 25, 50, 75 and 100th percentiles for the data? 84 84 98 80 89 83 85 56 85 84 84 74 84 81 83 80 45 86 67 79 81 78 76 85 83 77 86 83...
-
Number of points made by Teams A and B are shown. Which statement is true based on running the F-Test Two-Sample for Variances in the Data Analysis pack in Excel? Use a confidence level of 10% to...
Study smarter with the SolutionInn App