Function F and g are defined by a) Express in terms of x i) f (x)
Question:
Function F and g are defined by
a) Express in terms of x
i) f−¹(x)
ii) g−¹(x).
b) Sketch in a single diagram the graphs of y = g(x) and y = g−¹(x), making
clear the relationship between the graphs and writing down the coordinates
of their intersection.
c) Given that fg(−3) = f−¹(k), find the value of k.
Transcribed Image Text:
f:x1, xe R,x #2 2-x g:x3x+4, XER
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (9 reviews)
a i To find fx we need to solve for x in terms of fx Starting with fx x2x y x2x Mult...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00
0 Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
Functions f and g are defined by i. Express f(x) in the form a(x + b) 2 + c, where a, b and c are constants. ii. State the range of f. iii. State the domain of f 1 . iv. Sketch on the same diagram...
-
The functions f and g are defined for x R by f: x 5 3x g: x (x 1) a) Find the set of values which satisfy gf(x) 25. b) Sketch on the same diagram the graphs of y = f(x) and y = f 1 (x), showing...
-
The function f and g are defined for real values of x by a. Find gf(37). b. Find an expression for f -1 (x). c. Find an expression for g -1 (x). f(x) = Vx 1 -3 for x> 1, x - 2 g(x) = for x > 2. %3D...
-
Describe four different definitions of quality.
-
Refer to Forten Company's financial statements and related information in Problem. In problem Additional Information on Year 2015 Transactions a. The loss on the cash sale of equipment was $5,125...
-
A retailer estimates her fixed cost for placing an order at $ 1,000. Currently, she orders in optimal quantities of 400 units. She has, however, heard of the benefits of just- in- time purchasing a...
-
The dataset NFLContracts 2015 contains the yearly salary (in millions of dollars) from the contracts of all players on a National Football League (NFL) roster at the start of the 2015 season. (a) Use...
-
When is a companys competitive advantage most likely to endure over time?
-
Using Z-transform, find the total response of an LTID system specified by the linear difference equation: yn+2] 3yn+1]+2y[n] = 3x[n+2] 2x [n+1], if the initial conditions are y[-1] = 2, y[-2]=1, and...
-
Ryan and Blake Lively are married filing jointly taxpayers. Ryan's birthdate is August 10, 1982 and Social Security number is 434-14-4448. Blake's birthdate is March 19, 1983 and their Social...
-
Find the volume generated when the shaded area is rotated through 360 about the x-axis. -1 3 2- 1. N -2 -3- y=x2(x-2) 1 2 3
-
The diagram shows a sketch of the curve y = 3x x and the line y = 2x. Find the area of the shaded region. YA 4 2 -2 -1 0 -2 -4 -6 -8- -10-1 1 2 y=3x-x 3 4 y=-2x 5 X
-
Using the donations database on the companion site, and using only people who made a donation in response to the current mailing, consider predicting the amount of a donation (named Donation_D1 in...
-
Two charged objects 1 and 2 are held a distance \(r\) apart. Object 1 has mass \(m\) and charge \(+2 q\), and object 2 has mass \(2 m\) and charge \(+q\). The objects are released from rest. Assume...
-
Sketch the curves using the equations given in Problems 28-51. \(y^{2}-x^{2}=4\)
-
It really does pay to be a CEO of a Fortune 500 firm, according to the AFLCIO. The average S&P 500 chief executive made $13.1 million in 2016, 347 times more than the average U.S. worker did, up from...
-
Your firm is considering the launch of a new product, the XJ5. The upfront development cost is $12 million, and you expect to earn a cash flow of $3.1 million per year for the next five years. Plot...
-
C. Phillips, a sole trader specialising in material for Asian clothing, has the following purchases and sales for March 2017: Mar 1 Bought from Smith Stores: silk 40, cotton 80. All less 25 per cent...
-
Consider a put for which T = 0.5 and K = $45. Compute the Greeks and verify that equation (13.9) is zero. Market-maker profi-(--er, +g + r [A,S,-C(SJ] ) h
-
You are standing at x = 9.0 km and your assistant is standing at x = 3.0 km. Lightning bolt 1 strikes at x = 0 km and lightning bolt 2 strikes at x = 12.0 km. You see the flash from bolt 2 at t = 10...
-
Assume that the normality requirement in Exercise 16.7 is not met. Test to determine whether the price of a condominium and floor number are positively related.
-
Assume that the conditions for the test conducted in Exercise 16.6 are not met. Do the data allow us to conclude that the longer the commercial, the higher the memory test score will be?
-
Many people suffer from heartburn. It appears, however, that the problem may increase with age. A researcher for a pharmaceutical company wanted to determine whether age and the incidence and extent...
-
In your original post, you will choose a social issue or event that shaped our culture. You are welcome to choose from one of the following examples or come up with your own social issue or event in...
-
Image transcription text 10'49 4 Files This document contains ink, shapes and images that are not legible in Mob... more STUDENT - PRODUCT ASSESSMENT TASK Print Layout PRODUCT ASSESSMENT TASK...
-
Sheffield manufactures a fine wine in two departments, Fermenting and Bottling. In the Fermenting Department, grapes are aged in casks for a period of 30 days. In the Bottling Department, the wine is...
Study smarter with the SolutionInn App