Maths 1A Functions Theorem 3 Explanation

f:A to B is a bijection and two equalities need to be proved.
fof^(-1)=Ib, f^(-1)of=Ia (f^(-1))o(g^(-1)). The above equalities are proved if it is given that f is a bijection.
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[@RajavenkataganeshTadiboina]

Thanku annaya chala baga ardhamayindh❤

[@mathematicsbyakash550]

Your welcome. I am happy that you understood my explanation.

[@dvsubramanyam5698]

Thnks bro you are better than my maths teacher

[@mathematicsbyakash550]

Your welcome. I am happy that you like my explanation.

[@RatanRaj-d3z]

Thanks bro i like ur explanation ❤

[@mathematicsbyakash550]

@@RatanRaj-d3z , your welcome. Good luck with your studies.

[@nishasao1881]

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[@mathematicsbyakash550]

I am very happy to read your comment. I will continue teaching on RUclips.

[@HariHarani-oh9rg]

Sir please explain identity function...

[@mathematicsbyakash550]

Identity function is a function in which output is same as input.
If we give 1 as input to the function, we get 1.
If we give 100 as input to the function, we get 100.
If we give 'a' as input, we get 'a' as output.
In this theorem, we deal with I a and I b
I a is an identity function from A to A. This means that if we give an element from the set A as input, we get the same element as output.
I b is an identity function from B to B. This means that if we give an element from the set B as input, we get the same element as output.
In simple words, Identity function is f(x)=x. Output is Input.
I hope this helps. If you have further doubts, please ask here.

[@HariHarani-oh9rg]

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[@mathematicsbyakash550]

@@HariHarani-oh9rg , Your welcome

[@KrishlayTiwari-l8g]

❤❤❤❤❤ helpfull

[@mathematicsbyakash550]

I am happy that you like it.
Happy Learning!

[@Uday_003]

can i get tips to crack jee mains

[@mathematicsbyakash550]

Sure. Some of the general tips:
1. Focus on the subject you are good at. It can be Maths, Physics or Chemistry. At the same time, put effort in other subjects.
2. Set daily goals and work. If you are failing to plan, you are planning to fail.
3. Track your progress. See if you are able to reach your goals each day. If you are not able to reach your goals, identify the reasons for distraction.
4. Have a mentor who can check your progress. It can be your mother or father or teacher. Report your progress to them. They can see how you are working and will give you good suggestions.
Consistency is the key. Work regularly. JEE Mains is an exam which requires effort on a regular basis.
If you have any other questions, put them in the comments box as reply to this answer of mine.
All the best!

[@atozchannel2969]

This help for more members

[@harshojha7398]

Can you please share link of 1st theorem

[@mathematicsbyakash550]

Link for Theorem 1: ruclips.net/video/xpFWYU6cIZQ/видео.html
Link for Theorem 2: ruclips.net/video/Crrmc2FUHfM/видео.html

[@nishasao1881]

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