For each function, determine whether it is one-to-one, and if the function is one-to-one, find a formula

Question:

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

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

In Exercises given the function: a) Determine whether it is one-to-one. b) If it is one-to-one, find a formula for the inverse. 1. f(x) = 2x - 3 2. f(x) = x3 + 2
A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. g(x) = 3x
A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. g(x) = 1 sin x
Describe the three ways a client can reference a name from a namespace in C++.
The postclosing trial balance of the general fund of Serene Hospital, a not-for-profit entity, on December 31, 20X1, was as follows: During 20X2 the following transactions occurred: 1. Provided the...
Gottschalk Company sponsors a defined benefit plan for its 100 employees. On January 1, 2025, the companys actuary provided the following information. The average remaining service period for the...
Calculate SS, variance, and standard deviation for the following population of N 5 7 scores: 8, 1, 4, 3, 5, 3, 4. (Note: The definitional formula works well with these scores.)
Using 2008 as the base year, prepare a trend analysis of the following data, and tell whether the situation shown by trends is favorable or unfavorable. 2012 20 2010 2009 2008 Net sales Cost of goods...
The SGS Co. had $265,232 in taxable income. What is the marginal tax rate? Hammett, Inc., has sales of $66,407, costs of $27,115, depreciation expense of $10,715, and interest expense of $2,208. If...
All Mopped Up Company has journalized the adjusting entries for the period ending December 31, 2018, and posted the adjustments to the following T-accounts. (Click the icon to view the T-accounts.)...
Describe the differences between the graphs of f (x) = x3 and g(x) = 3x.
Given the function f (x) = (x - 5), use composition of functions to show that f -1(x) = x2 + 5.
Forty-seven employees in an office wear eyeglasses. Thirty-one have single-vision correction, and 16 wear bifocals. If two employees are selected at random from this group, what is the probability...
the object is 2.0mm?there are two converging lens on the right side of the object?one is 9.9cm far away from the object and has a focal point 9.0cm?the other is 101.1cm far away from the first lens...
Consider the following account balances (in thousands) for the Shaker Corporation In the Dec 31.2021 Cash $200,000 and Capital $2,000,000 and Retained earnings $1,500,000 The balances of raw...
Unless otherwise stated, assume gravitational acceleration g = 9.81 m/s and the density of water to be 1000 kg/m. Unless otherwise stated, give all numerical answers to 3 significant figures, such as...
The purpose of this installment is to classify stock, bond, and mutual fund investments, explore tools for their evaluation and select these securities based on your investment philosophy and goals....
Jackson County Senior Services is a nonprofit organization devoted to providing essential services to seniors who live in their own homes within the Jackson County area. Three services are provided...
Let T(x, y, z) denote temperature at each point in space. Draw level surfaces (also called isotherms) corresponding to the fixed temperatures given. T(x, y, z)= x-y + 2z, T = 0,1,2
The tractor is used to lift the 150-kg load B with the 24-mlong rope, boom, and pulley system. If the tractor travels to the right at a constant speed of 4 m/s, determine the tension in the rope when...
Find the standard deviation and inter-quartile range of the backpack data from Example A in Lesson 2.1. Which of these two values is larger? Will this value always be larger? Explain your reasoning...
Two data sets have the same range and inter-quartile range but the first is symmetric and the second is skewed left. a. Sketch two box plots that satisfy the conditions for the two sets. b. Would you...
The histogram at right shows a set of data of backpack weights. Weight of Students' Backpacks a. How many values are between 2 kg and 3 kg? b. How many values are in the data set? c. Make up a set of...
Clayton received a $140,000 distribution from his 401(k) account this year. Assuming Clayton's marginal tax rate is 25 percent, what is the total amount of tax and penalty Shauna will be required to...
Mass LLp developed software that helps farmers to plow their fiels in a mannyue sthat precvents erosion and maimizes the effoctiveness of irrigation. Suny dale paid a licesnsing fee of $23000 for a...
Average Rate of Return The following data are accumulated by Lone Peak Inc. in evaluating two competing capital investment proposals: 3D Printer Truck Amount of investment $40,000 $50,000 Useful life...

For each function, determine whether it is one-to-one, and if the function is one-to-one, find a formula

Question:

Step by Step Answer:

a Replace fx with y y 2 x Interchange x and y x 2 y Solve for y x...View the full answer

College Algebra Graphs and Models

Students also viewed these Linear Algebra questions