EBK APPLIED CALCULUS FOR THE MANAGERIAL
10th Edition
ISBN: 8220102959293
Author: Tan
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter A, Problem 1E
To determine
To show: The function f and g are inverse of each other.
Expert Solution & Answer
Explanation of Solution
Given:
The given functions are
Proof:
The domain and rang of the both functions are
Check the composition
That is,
Check the composition
That is,
Hence, the two functions f and g are inverse of each other is showed.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Show that g(x) = x/(x-1) is equal to its inverse on the domain x-1 {x : x # l}.
Find the inverse of the function on the given domain.
f(x)=(x−6)^2, [6,∞)
If g is the inverse function of f(x) = 2x + In x, find g'(2)
Chapter A Solutions
EBK APPLIED CALCULUS FOR THE MANAGERIAL
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Verify that f and g are inverse functions algebraically. f(x) = x3 + 5, g(x) = ∛(x − 5)arrow_forwardVerify that f(x) = 1/x+3 and g(x) = 1-3x/x are inverse if each other by showing f(g(x)) = x AND g(f(x)) = x b. Find the domain and range of f(x) and f-1(x)arrow_forwardShow that f and g are inverse functions (a) analytically and (b) graphically f(x) = x3 , g(x) = 3√xarrow_forward
- Construct a table of values for the function f(x)=x²-1 in the restricted domain {x|0≤x≤4}.Is f a one to one fuction?If yes, construction the table of values of the inversearrow_forwardShow that f and g are inverse functions (a) analytically and (b) graphically f(x) = 1 − x3 , g(x) = 3√(1 − x)arrow_forwardShow that the functions are inverse functions of each other. f(x) = 2x3 − 1 and g(x) =3√( x + 1)/ 2arrow_forward
- Show that f(x) and g(x) are functions by showing that f(g(x)) =x and g(f(x) = x f(x) = (x-2)^2 g(x) = square root of x +2arrow_forwardfind the inverse function of f a) f(x)=3x^3+1 f^-1(x)= b) f(x)=x/x+6 f^-1(x)= c)f(x)=square root of 3+7x f^-1(x)= , x is greater than or equal to 0arrow_forwardLet k(x)=f(x)g(x)h(x). If f(x)=−2x−3,g(x)=−3x+3, and h(x)=−3x2+x+1, what is k′(1)?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Inverse Functions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=9fJsrnE1go0;License: Standard YouTube License, CC-BY