Inverse in function

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If F -1(x) is the inverse of F(x), which statements must be true? 

Aug 10th, 2015

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

 Hello  SNS114990438858156259261

  where is statements???

 please give me options  so that I  can help you.

 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 10th, 2015


If F -1(x) is the inverse of F(x), which statements must be true? 

Check all that apply.

 
A.F -1(F(x)) = x
 
B.The range of F -1(x) is the domain of F(x).
 
C.The range of F -1(x) is the range of F(x).
 
D.F(F -1(x)) = x
 
E.The domain of F -1(x) is the range of F(x).
 
F.The domain of F -1(x) is the domain of F(x).
Aug 10th, 2015

please complete your questions,.... 

Aug 10th, 2015

This is all the que

Aug 10th, 2015

 ok thanx .. I  will  give you  answer as soon as possible 

Aug 10th, 2015

*questions

Aug 10th, 2015

The  true statements  will be ..

B.The range of F -1(x) is the domain of F(x).
D.       F(F -1(x)) = x

E.The domain of F -1(x) is the range of F(x).
 if you need  explanation  please  let me know  

Aug 10th, 2015

B, D, and E were the right answers but A was the right answer

Aug 10th, 2015

sry   I left .. that is also a correct statment 

Aug 10th, 2015

correct answer .. will be A, B, D, E

Aug 10th, 2015

but there will be some condition  for statement   A .

Aug 10th, 2015

 suppose 

 f(x)  = x+ 3

 y = x+3 

  x = y-3 

 f^-1(x)  =   x - 3

therefor  f(x)  = x+ 3

              f^-1(x)  =   x - 3 

now  f(f^-1(x)) = x-3 +3 =  x

 and  f^-1(f(x)) =  x+3-3 = x 

 so both 

f(f^-1(x))  = f^-1(f(x))   = x

now hope it will be clear now.


Thank you !!!!

Aug 10th, 2015

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