Algebra help needed for determining whether two functions are inverse of each other

timer Asked: Nov 1st, 2015
account_balance_wallet $5

Question Description

For each pair of functions f and g below, find f(g(x)) and g(f(x)).  Then, determine whether f and g are inverse of each other.

Simplify answers as much possible.  Assume that your expressions are defined for all x in the domain of the composition.

A.  f(x)=x-3/2      B.  f(x)=6x

     g(x)2x+3            g(x)=6x

     f(g(x))=               f(g(x))=

     g(f(x))=               g(f(x))=

f and g are inverses of each other                 A     B 

f and g are not inverses of each other          A      B   

Tutor Answer

School: Purdue University

Thank you for the opportunity to help you with your question!

The Answers :

A. f(x)=x-3/2                                  B.  f(x)=6x

    g(x)=2x+3                                        g(x)=6x

   f(g(x))= (2x+3) -3/2                           f(g(x))=6(6x)

              = 2x + 3/2                                        = 12x                                

  g(f(x))=  2(x-3/2) + 3                            g(f(x))=6(6x)

           = 2x - 3 + 3                                             = 12x

           = 2x                      

f and g are not inverses of each other       A       B

Please if you don't understand something just ask i will answer you

I am glad to work with you just invite me each time you have any others question i will give you the best answers

GOod Luck

Please let me know if you need any clarification. I'm always happy to answer your questions.

flag Report DMCA

Thank you! Reasonably priced given the quality not just of the tutors but the moderators too. They were helpful and accommodating given my needs.

Similar Questions
Hot Questions
Related Tags
Study Guides

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors