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.
I was working on some similar problems in preparation for my math MTEL middle school 5-8 test. I did it by replacing x & y at the beginning and solving for y, got the same answer. Thanks for the videos and keep them coming.
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).
@@dennisaguilar835I 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.
I was working on some similar problems in preparation for my math MTEL middle school 5-8 test. I did it by replacing x & y at the beginning and solving for y, got the same answer. Thanks for the videos and keep them coming.
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
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
Love it. Great explanation and to the point. Keep 'em coming
Will do. Thank you.
Thank you professor !
Thank you professor
You are a great teacher
Thank you sir!
🙏Subscribed!
the way he can write sideways on the board so well
Very nicely explained Thanks Sir
Thanks for liking
Nice reminder
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.
❤
Thanks
Mr H you can use the adjugate matrix in order to find the inverse.
Thank u very much sir
Most welcome
Maybe 4th line added f'[(2x+3)/(x-1)]=x as example on line #2.
miss your blackboard teaching
What's his name?
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).
@@dennisaguilar835I 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
Good, but the last 3 steps idid not understand. Invertal function.
PLEASE MAKE VIDOES BASED OFF ON CHAPTERS !!!
So simple, after taking the matrix, the answer is f^(-1)(y)=(-y-3)/(-y+2).
Easy Peasy.
Professor,please add bangla subtitle.
*Different.
nudaw pota
Thanks