Question: 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

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.

Step by Step Solution

★★★★★

3.32 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The function fx x is indeed not onetoone because it fails the horizontal line ... 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) = 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 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.

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.

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...

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...

Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (900' Find the domain of (:)(X), (Enter your answer using interval notation.) 9 1. [-18 Points] DETAILS SPRECALC7...

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...

2 3 7 1. Find the domain and range of the function f (x) = 7x+2 Domain : + Range : 2. Find the domain and range of the function f (x) = V2x - 2 nd Range Domain : () Range : I 3. Find the domain and...

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...

1 Find the domain of the function. F(x) = 7 x + 10 2. Find the domain of the function. F (x) = 14/ x- 5 3. Find the domain of the function. f(x)=9 /x+6 +2/x+3 4. Find a. (f+g) (x) b. (f+g) (9)....

Refer to the statement of stockholders equity for Crisanti Corporation in Exhibit 14-4 to answer the following questions: (1) At what price per share were the 10,000 shares of common stock sold? (2)...

Using electrode potentials, calculate the standard freeenergy change for the reaction H2o Na (aa) Br (a 5