• Support PF! Buy your school textbooks, materials and every day products Here!

My first question here help please

  • Thread starter n-000
  • Start date
  • #1
3
0
Hello all

Thses are my questions:


1. Prove that if A(x) is a one to one odd function, then A^(-1) (x) is also odd function.





2. If D(x) and R(x) are one to one functions, then
(DoR)^(-1) (x)=(R^(-1) o D^(-1) )(x)


I hope that someone will help me ^^
 

Answers and Replies

  • #2
33,154
4,838
You have to make an effort at proving these before anyone can give you any help.
 
  • #3
3
0
Actually, in general I want to know how to prove any question?
 
Last edited:
  • #4
214
1
How to prove any question? You have asked very difficult question. I think the best way is to experience it by looking at examples and solving problems, at least trying to solve.
Some commonly used way to prove are

(i)Solve L.H.S and the R.H.S, if both give same result then it is proved
(ii) Solve either of L.H.S or R.H.S to prove other side.

(iii) Prove it by making some contradiction
 
  • #5
214
1
How to prove any question? You have asked very difficult question. I think the best way is to experience it by looking at examples and solving problems, at least trying to solve.
Some commonly used way to prove are

(i)Solve L.H.S and the R.H.S, if both give same result then it is proved
(ii) Solve either of L.H.S or R.H.S to prove other side.

(iii) Prove it by making some contradiction
 
  • #6
277
1
Start by defining the terms used, writing them as equations if possible.

What does it mean to say "A(x) is one to one"?
What does it mean to say "A(x) is an odd function"?
What is the definition of A^(-1) (x)?
 
  • #7
3
0
Thank you all
Your advices were very helpful ^^
 

Related Threads for: My first question here help please

  • Last Post
Replies
1
Views
907
Replies
9
Views
688
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
14
Views
2K
Replies
13
Views
1K
  • Last Post
Replies
9
Views
2K
Replies
13
Views
745
Replies
7
Views
2K
Top