- #1

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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 ^^

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- Thread starter n-000
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In summary, the conversation discusses ways to prove mathematical questions and the importance of understanding definitions and solving examples. Some commonly used methods to prove equations are solving both sides of the equation, solving one side to prove the other, and using contradiction.

- #1

- 3

- 0

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 ^^

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- #2

Mentor

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You have to make an effort at proving these before anyone can give you any help.

- #3

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Actually, in general I want to know how to prove any question?

Last edited:

- #4

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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

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

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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

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Thank you all

Your advices were very helpful ^^

Your advices were very helpful ^^

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