a. Find an expression for (fg) 1 (x). b. Find expressions for: i. f 1 g 1
Question:
a. Find an expression for (fg)−1(x).
b. Find expressions for:
i. f−1 g−1(x)
ii. g−1 f−1(x).
c. Comment on your results in part b.
Investigate if this is true for other functions.
Transcribed Image Text:
f:x3x-5 for x = R g: x4-2x for x ER
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
a To find fg1x we need to solve for x in the equation fgx x First we find fgx by plugging gx into fx which gives us fgx fgx fx4 2x x4 2x3 5 Now we sol...View the full answer
Answered By
Dulal Roy
As a tutor, I have gained extensive hands-on experience working with students one-on-one and in small group settings. I have developed the ability to effectively assess my students' strengths and weaknesses, and to customize my teaching approach to meet their individual needs.
I am proficient at breaking down complex concepts into simpler, more digestible pieces, and at using a variety of teaching methods (such as visual aids, examples, and interactive exercises) to engage my students and help them understand and retain the material.
I have also gained a lot of experience in providing feedback and guidance to my students, helping them to develop their problem-solving skills and to become more independent learners. Overall, my hands-on experience as a tutor has given me a deep understanding of how to effectively support and encourage students in their learning journey.
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
-
An equilateral triangle is shown below. (a) Find an expression for its height h in terms of a. (b) Find an expression for its area A in terms of a. 1
-
Find an expression for the unit vector directed toward the origin from an arbitrary point on the line described by x = 1 and z = 2.
-
Find an expression for the unit vector directed toward the point P located on the z-axis at a height h above the xy plane from an arbitrary point Q(x, y, - 3) in the plane z = - 3.
-
What are the possible sources of error in this project?
-
Regarding the five-number summary: a. Identify its components. b. How can it be employed to describe center and variation? c. What graphical display is based on it?
-
Nantucket Enterprises manufactures insulated cold beverage cups printed with college and corporate logos, which it distributes nationally in lots of 12 dozen cups. In June 2017, Nantucket produced...
-
Six different letters are to be put in six envelopes of different colors in a manner that each envelope gets only one letter. In how many ways can this be done? Use combinations and permutations.
-
The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. If you select a random sample of 25 bottles, what is the...
-
You own a hotel in a fairly quiet neighborhood west of the City of Boston. Except for an occasional disturbance, petty theft in the hotel room, disorderly conduct in the bar or restaurant, there have...
-
Consider a problem with two decision variables, x1 and x2, which represent the levels of activities 1 and 2, respectively. For each variable, the permissible values are 0, 1, and 2, where the...
-
Find the largest possible domain for each function and state the corresponding range. a. f(x) = 3x 1 b. f(x) = x 2 + 2 c. f(x) = 2 x d. e. f. f(x) =
-
The coordinates of three of the vertices of a trapezium, ABCD, are A(3, 5), B(5, 4) and C(1, 5). AD is parallel to BC and angle ADC is 90. Find the coordinates of D.
-
Use a graphing utility to graph each equation in Exercises 100103. Then use the .Trace. feature to trace along the line and find the coordinates of two points. Use these points to compute the lines...
-
part of the audit of Wyoming Enterprises, a regional distributor of linoleum and other carpet oducts in the northwestern United States, the external auditors, Alan CPA Firm, have termined that their...
-
What are some of the primary reasons for audit failures and the potential scandals? explain the reasons in simple wording .
-
ABAC Farms has assets of $700,000; liabilities of $200,000; Net income of $32,000; and, Consulting Revenue of $250,000. What is the amount of ABAC Farm's equity?
-
The Income Statement and Balance Sheet consistently tell a financial story. That story has many chapters and can change dramatically based upon macroeconomic conditions. Provide at least three...
-
Solve the formula -x+6y= 9 for y when x = 3. Provide your answer below:
-
Sam's utility function for his monthly consumption of goods X and Y is U(X,Y) = 100X - X2 + Y. (Assume this function applies only for bundles that contain no more than 100 units of X; bundles with...
-
On January 1, 2018, Khalid Ltd., which follows IAS 17, entered into an eight-year lease agreement for three dryers. Annual lease payments for the equipment are $28,500 at the beginning of each lease...
-
Find how many of the six-digit numbers that can be made from 1, 2, 2, 3, 3 and 3: a. Begin with a 2 b. Are not divisible by 2.
-
There are 420 possible arrangements of all the letters in a particular seven-letter word. Give a description of the letters in this word.
-
A woman has 10 children. She arranges 11 chairs in a row and sits on the chair in the middle. If her youngest child sits on the adjacent chair to her left, in how many ways can the remaining children...
-
how can i get user input with this code of how many cup cakes each stand sold public class Main { //This is a instance variables int ID; int soldedCupCakes; static int totalCupCakes; public Main (int...
-
Can someone help me why the following code does not compile. Why not? public class WIDGET { private String x = ''; private static final int Y = 10; public String getX() { return x; } ...
-
J&J Toy Company produces two dolls, the male Jack doll and the female Jill doll. Both dolls are made from plastic and come with a variety of outfits in standard packages. The Jack doll requires 4...
Study smarter with the SolutionInn App