The functions f and g are defined, for x R, by f: x 3x -
Question:
The functions f and g are defined, for x ∈ R, by f: x → 3x - k, where k is a positive constant g: x → 5x - 14/x+1, where x ≠ -1.
a. Find expressions for f-1 and g-1.
b. Find the value of k for which f-1(5) = 6.
c. Simplify g-1(x).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
fx3x k gx5x14 x1 i F 1 G 1 let fx y let gxy y 3xk y5x14x1 ...View the full answer
Answered By
JAI KUMAR SHARMA
Conquered challenges of working with highly diverse student
population to attain exceptional student achievement.
Modeled and taught basic and advanced social skills, conflict
management techniques and study approaches to students.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
The functions f and g are defined by these sets of input and output values. g = {(1, 2), (- 2, 4), (5, 5), (6, - 2)} f = {(0, - 2), (4, 1), (3, 5), (5, 0)} a. Find g( f (4)). b. Find f (g(- 2)). c....
-
The functions f and g are defined by these sets of input and output values. g = {(1, 2), (- 2, 4), (5, 5), (6, - 2)} f = {(2, 1), (4, - 2), (5, 5), (- 2, 6)} a. Find g( f (2)). b. Find f (g(6)). c....
-
Functions f and g are defined on R by f (x) := x + 1 and g (x) := 2 if x 1 and g(1) := 0. lim g (f(x) g (lim f(x))
-
= Adobe Reader Touch Type here to search Active Research: Toyota's Hybrid Offer One of the most successful hybrid cars (cars that run on both battery and gasoline) is the Prius by Toyota. Visit...
-
What qualitative factors should be considered in determining the sample size?
-
Suppose rRF = 5%, rM = 10%, and rA = 12%. a. Calculate Stock As beta. b. If Stock As beta were 2.0, then what would be As new required rate of return?
-
What is the ex-dividend date, and why is it important to investors? AppendixLO1
-
1. On January 1, 2011, Pan Company sold equipment to its wholly-owned subsidiary, Sun Company, for $1,800,000. The equipment cost Pan $2,000,000. Accumulated depreciation at the time of sale was...
-
Problem 1: JAY Co. reported net income for the current year 2021 at P2,395,000 before taxes. Included in the determination of the said net income were: Non-deductible expenses Accrued warranty...
-
1. The court determines that Kristi was fired based on Javiers status as an undocumented alien, not his Mexican nationality. Do you agree that termination based upon the citizenship status (alienage)...
-
Express each of the following as a composite function, using only f, g, f -1 and/or g -1 : f: x x 3 for x R g: x x - 8 for x R a. x (x - 8) 1/3 b. x x 3 + 8 c. x x 1/3 - 8 d. x (x + 8) 1/3
-
f(x) = x 2 + 2 for x 0 g(x) = 5x - 4 for x 0 a. Write down the domain of f -1 . b. Write down the range of g -1 .
-
1. Summarize you investment philosophy and general approach to tolerance for risk. 2. Indicate whether you view yourself as an active or passive investor, and explain why. 3. Summarize your personal...
-
(Reference: A Closer Look on Cost Accounting, De Jesus, 2019) Paulo Corporation had the following account balances as of August 1, 2020: Raw materials inventory (direct and indirect) Work in Process...
-
Use the given data values (a sample of female arm circumferences in centimeters) to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each...
-
1. What stakeholders other than customers, suppliers, and partners should be considered when conceiving ways to monetize data? 2. What would be one strategy to maximize "reliability" attribute in...
-
What important guidance does little's law offer healthcare leadership regarding the planning and utilization of resources
-
Semester Two Practice Examinations, 2022 STAT2201 Question 2. [10 marks] A study investigated the effect of playing computer games on heart rate. Twenty eight individuals were recruited into the...
-
Locate the Treasury bond in Figure 8.4 maturing in November 2028. What is its coupon rate? What is its bid price? What was the previous days asked price? Assume a par value of $10,000. Figure 8.4...
-
In Problems 1522, find the principal needed now to get each amount; that is, find the present value. To get $750 after 2 years at 2.5% compounded quarterly.
-
Use the symmetry of each quadratic function to find the maximum or minimum points. Sketch each graph, showing all axes crossing points. a. y = x 2 6x + 8 b. y = x 2 = 5x 14 c. y = 2x 2 + 7x 15 d....
-
Express each of the following in the form (x + a) 2 + b. a. x 2 6x b. x 2 + 8x c. x 2 3x d. x 2 + 15x e. x 2 + 4x + 8 f. x 2 4x 8 g. x 2 + 7x + 1 h. x 2 3x + 4
-
Solve: a. b. c. d. e. f. x- 6 x-5 = 0
-
The rate of return on Cherry Jalopies, Inc., stock over the last five years was 14 percent, 11 percent, 4 percent, 3 percent, and 7 percent. What is the geometric return for Cherry Jalopies, Inc.?
-
U.S. GAAP specifies all of the following characteristics of variable interest entities except: A. Equity holders hold less than 5% of the entitys voting stock. B. Equity holders do not have voting...
-
Rank the following three stocks by their risk-return relationship, best to worst. Night Ryder has an average return of 10 percent and standard deviation of 27 percent. The average return and standard...
Study smarter with the SolutionInn App