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

Tutor: None Selected Time limit: 1 Day

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   

Nov 1st, 2015

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.
Nov 1st, 2015

Thanks but it was wrong

correct answer is:   A.   f(g(x))=x    g(f(x))=x   then,  B.  should be  36x for both

Nov 1st, 2015

Nov 1st, 2015
Nov 1st, 2015
Oct 25th, 2016
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer