That’s great. Straight forward and succinct. No doubt the students would want you to sketch the function and its inverse showing intersecting points with the x any y axis plus intersection of the functions where appropriate.
Sir, you are making maths simpler and fun. I have only school maths basic and I wish you teach fundamental like calculus, trigonometry and other basics for the general public. Thanks
Curious, why would we have a problem: f(x)=2x+3/x-1 Meaning, where would that problem come from? This is something that bothered me in calculus. I can solve this problem (because of your help), but why would this problem arise in the first place. Best Regards Mr. H.
I understand your confusion. I had it as well. The letter "x" and "y", are just "placeholders". They might as well be "q" and "p", or any other symbol or letter. The important thing is the inverse function itself . This being ; "(Independant_variable +3) / (Independant_variable +2)" . In the end he switches the "x" and the "y", to be consistent with the original notation f(x). Even if it seems as a mechanical process it will save you a lot of abract confusion when finding the inverse function. Finally, I suggest going through a calculus book and searching for the formal definition of "Inverse function". PS: The "-1" in the notation "f^(-1) (x)" is just notation! It is NOT equal 1/f(x).
@@dear_dennisI see that he switched x and y after he isolated the variables. I was taught to switch both variables at the beginning, right after substituting f(x) with y. I see that his method is more consise
That’s great. Straight forward and succinct. No doubt the students would want you to sketch the function and its inverse showing intersecting points with the x any y axis plus intersection of the functions where appropriate.
You always go for the subtle issues which makes your videos great for basic math. Thanks.
Sir, you are making maths simpler and fun. I have only school maths basic and I wish you teach fundamental like calculus, trigonometry and other basics for the general public. Thanks
Love it. Great explanation and to the point. Keep 'em coming
Will do. Thank you.
Please make playlists from basis ot advance on particular chapters one by one. We all like you lectures. love from bangladesh 🇧🇩🇧🇩🇧🇩🇧🇩🇧🇩 3:11
Helpful thank you professor
Thank you professor
You are a great teacher
Very nicely explained Thanks Sir
Thanks for liking
the way he can write sideways on the board so well
Thank you professor !
Thank you sir!
Curious, why would we have a problem: f(x)=2x+3/x-1
Meaning, where would that problem come from? This is something that bothered me in calculus. I can solve this problem (because of your help), but why would this problem arise in the first place. Best Regards Mr. H.
Mr H you can use the adjugate matrix in order to find the inverse.
What's his name?
Maybe 4th line added f'[(2x+3)/(x-1)]=x as example on line #2.
🙏Subscribed!
Nice reminder
Thanks
Thank u very much sir
Most welcome
There is a bit of confusion in writing two dufferent equations for y.
I understand your confusion. I had it as well.
The letter "x" and "y", are just "placeholders". They might as well be "q" and "p", or any other symbol or letter.
The important thing is the inverse function itself . This being ; "(Independant_variable +3) / (Independant_variable +2)" .
In the end he switches the "x" and the "y", to be consistent with the original notation f(x).
Even if it seems as a mechanical process it will save you a lot of abract confusion when finding the inverse function. Finally, I suggest going through a calculus book and searching for the formal definition of "Inverse function".
PS: The "-1" in the notation "f^(-1) (x)" is just notation! It is NOT equal 1/f(x).
@@dear_dennisI see that he switched x and y after he isolated the variables. I was taught to switch both variables at the beginning, right after substituting f(x) with y. I see that his method is more consise
So simple, after taking the matrix, the answer is f^(-1)(y)=(-y-3)/(-y+2).
miss your blackboard teaching
PLEASE MAKE VIDOES BASED OFF ON CHAPTERS !!!
❤
Professor,please add bangla subtitle.
*Different.
Good, but the last 3 steps idid not understand. Invertal function.
Easy Peasy.
nudaw pota
Thanks