Given the one-to-one function f (x) = x3 + 2, find the inverse and give the domain

Question:

Given the one-to-one function f (x) = x3 + 2, find the inverse and give the domain and the range of f and of f -1.

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

Given the function f, prove that f is one-to-one using the definition of a one-to-one function. a. f (x) = 1/3 x - 6 b. f (x) = 4 - 2x c. f (x) = x3 + 1/2
Decide whether the statement is true or false. Justify your answer. 1. It is possible for a third-degree polynomial function with integer coefficients to have no real zeros. 2. If x = i is a zero of...
Suppose that f' exists and is continuous on a nonempty, open interval (a, b) with f(x) 0 for all x (a, b). a) Prove that f is 1-1 on (a, b) and takes (a, b) onto some open interval (c, d). b) Show...
Evaluate the expression for the given value(s) of the variable(s). 4x - 7, x = 5/2
Brookdale Hospital hired an inexperienced controller early in 20X4. Near the end of 20X4, the board of directors decided to conduct a major fund-raising campaign. They wished to have the December 31,...
Nair Corp. enters into a contract with a customer to build an apartment building for $1,000,000. The customer hopes to rent apartments at the beginning of the school year and provides a performance...
Calculate SS, variance, and standard deviation for the following population of N 5 5 scores: 2, 13, 4, 10, 6. (Note: The definitional formula works well with these scores.)
Lowry Department Store is located in midtown Metropolis. During the past several years, net income has been declining because suburban shopping centers have been attracting business away from city...
Periodic inventory by three methodsThe units of an item available for sale during the year were as follows: Jan. 1 Inventory 2 , 0 0 0 units at $ 4 Feb. 1 7 Purchase 3 , 8 0 0 units at $ 5 Jul. 2 1...
Consider the two languages L1=(a*+b)* and L2=(a*b*)* over the input alphabet {a, b}. Which of the following option describes the relation between the languages L1 and L2? a) LcL b) L2 cL c) L = L, d)...
Given the function f (x) = (x - 5), use composition of functions to show that f -1(x) = x2 + 5.
Match the function with one of the graphs (a)-(h), which follow. 1. y = log2 x 2. f (x) = 2x + 2 3. f (x) = ex-1 4. f (x) = ln x - 2 5. f (x) = ln (x - 2) a) -5-4-3-2-11 2 3 4 5 5-4-3-211 2 4 53x...
Define (a) nominal damages, (b) incidental damages, (c) consequential damages, (d) foreseeability of damages, (e) punitive damages, (f) liquidated damages, and (g) mitigation of damages.
Find the angle and length of the resulting vector for the given d and e vectors by the analytical method. After that, find the parameters of the resulting vector for the three vectors. In the answer,...
The problem I have identified is that healthcare leaders could benefit from addressing the issue of stress and burnout, which impact revenue (Scott, 2022). I have found a peer-reviewed article...
Facebook, Inc is the company Complete a 3-5 year forecast for your target company assuming a 10% average growth rate for the duration of the forecast period Assuming a long-term growth rate of 5%...
BSC-It is important for healthcare leaders to link their departmental balanced scorecard (BSC) to a corporate BSC because it facilitates alignment with the overall strategic objectives of the...
Hebert Company adds material at the beginning of production. The following production information is available for March: Beginning Work in Process Inventory (40% complete as to conversion) Started...
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 + 2, T = 0, 1, 2,-1, -2
In Exercises delete part of the domain so that the function that remains is one-to-one. Find the inverse function of the remaining function and give the domain of the inverse function. f(x) = 16x4 -3...
Courtney can run 100 m in 12.3 s. Marissa can run 100 yd in 11.2 s. Who runs faster? (There are 2.54 centimeters per inch, 12 inches per foot, and 3 feet per yard.)
Carl and Bethany roll a pair of dice 1000 times and keep track of the sum on the two dice. The frequency of each sum is listed below and shown in the histogram. Sum Frequency...
Rita and Noah survey 95 farmers in their county to see how many acres of sweet corn each farmer has planted. They summarize their results in a histogram. a. The distribution is skewed right. Explain...
question 6 Timely Inc. produces luxury bags. The budgeted sales and production for the next three months are as follows july. august september Sales, in units 1,115. 1229. 1302 Production. in units...
On May 12 Zimmer Corporation placed in service equipment (seven-year property) with a basis of $220,000. This was Zimmer's only asset acquired during the year. Calculate the maximum depreciation...
Power Manufacturing has equipment that it purchased 7 years ago for $2,550,000. The equipment was used for a project that was intended to last for 9 years and was being depreciated over the life of...

Given the one-to-one function f (x) = x3 + 2, find the inverse and give the domain

Question:

Step by Step Answer:

Replace fx with y y x 3 2 Interchange x and y ...View the full answer

College Algebra Graphs and Models

Students also viewed these Linear Algebra questions