Question: The function f(x) = |x| is not one-to-one. Find a suitable restriction on the domain off so that the new function that results is one-to-one.

The function f(x) = |x| is not one-to-one. Find a suitable restriction on the domain off so that the new function that results is one-to-one. Then find the inverse of f.

Step by Step Solution

★★★★★

3.30 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

One possibility ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

The function f: X Y has an inverse function f -1: Y X if and only if f is one-to-one and onto.

The rate of change of the function f (x) = sec x + cos x is given by the expression sec x tan x sin x. Show that this expression can also be written as sin x tan2 x.

The general form of an exponential equation, y = abx, is convenient when you know the y-intercept. Start with f(0) = 30 and f(1) = 27. This painting, Inspiration Point (2000), by contemporary...

The function f (x) = x 4 is not one-to-one. Find a suitable restriction on the domain of f so that the new function that results is one-to-one. Then find the inverse of the new function.

The function f (x) = |x| is not one-to-one. Find a suitable restriction on the domain of f so that the new function that results is one-to-one. Then find the inverse of the new function.

The function f(x) = x 4 is not one-to-one. Find a suitable restriction on the domain off so that the new function that results is one-to-one. Then find the inverse of f.

Question 1(Multiple Choice Worth 2 points) (02.06 MC) Given the graph of f(x), determine the range of f-1(x). 10 NOW -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10' CR C (-0o, 1) U (1, 00 ) C...

The function f (x) = (x-5)"+2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the inverse function. (1 point) O restricted domain: x 2 5; f-1(x) =5- ~x-2...

Inverse function and their graphs Complete the following exercises using Maple. Copy paste the MAPLE work in word document and type your answers. Upload the word file. Or, you may also type your...

Math 1P97. Assignment 2 (4%). Due date: Friday, May 26, 6:45 pm Student's name: 1 Math 1P97. Assignment 2 (4%). Due date: Friday, May 26, 6:45 pm Student number: Total mark: NOTE: Students are...

a) Generally, when does an agreement concerning an exchange of promises require performance to be exchanged? b) On what authority did the court rely in determining whether to award restitution in...

Look up businesses for sale in an industry of your choice (or the industry assigned you by your professor), at a site such as www.bizbuysell.com. What kind of information does the website provide...

BE19.8 (LO 2, 4, 5) Hemera SA had a defined benefit obligation of R$3,100,000 and plan assets of R$2,900,000 at January 1, 2025. Hemeras discount rate is 6%. In 2025, actual return on plan assets is...

1. If money supply grows at a faster rate than real GDP, then there will be infl ation.

Answer Problems 912 using the figure. True or False If a = 4, then the equation of the directrix is x = 3. YA F V=(3, 2) D X

For the ellipse the vertices are the points____ and _____ . x 4 + y 25 1,

Answer Problems 912 using the figure. If a > 0, the equation of the parabola is of the form YA F V=(3, 2) D X

Jane's Cookhouse is a popular restaurant located in a scenic setting. The owner of the restaurant has been trying to better understand costs at the restaurant and has hired a student intern to...

Show all the work and timelines A share of common stock has an expected long-run constant dividend 6%, and the most recent dividend D_0, was $5.00. The stock is currently $50 per share. Calculate the...

can anyone help with this question 3. An oil company owns. some land that is purported to contain oil. The company classifies such land into four categories by the total number of barrels that are...