at 2:48 when you cross multiply x*(3y-1) you give the solution as 3yx-3x, it should be 3yx-x and the final answer for the inverse function of F(x) becomes y=(x+5)/(3x-2)
@@kit_kat0686i pray for you. i’m doing college pre calc, same as op and i cant fathom the chapter that deals with this. i’m also working with logarithmic and exponential functions which i am not a fan😤
Me rn but the class is online on edmentum 💀 I'm gonna be in 11th grade soon and I have no idea if I'll make it mentally. I hope everyone seeing this passes with flying colors, this is really complicated, so make sure to drink water and take notes
Yes, We are all brothers and sisters against math homework, one small mistake will not divide us and stop us from slaughtering our adversaries. We shall rise
At 2:48 when you cross multiply x*(3y-1) it should be 3yx-x, instead of 3yx-3x, and the final answer for the inverse function of f(x) becomes y=(x+5)/(3x-2)
00:01 Finding the inverse function algebraically and how to graph inverse functions. 02:53 Finding the inverse function by moving terms and isolating variables. 05:38 Explaining domain, range & inverse functions. 08:16 Understanding domain, range, and inverse functions with fractions, square roots, and graphs 10:51 Finding inverse functions using natural logs 13:54 Understanding domain and range in inverse functions 16:52 Proving two functions are inverses of each other 19:15 Identifying inverse functions and using line tests in graph analysis 21:36 Inverse functions have symmetry across the line y equals x.
Thank you really. I plan to take accounting since I can't pursue Computer science for now. As a grade 11 student, this channel helped me a lot since grade 9. Thank you for helping me out through my hard times. I love your voice it's so calming
Thank you so much, I have been struggling understanding my modules ever since school started this year. You have taught me more than my teachers and the endless modules they give.
6:14 if you want to get the domain easily just used this Equal it to 0:. 2x-6=0 Transposed: 2x=0+6 Divided it. 2x=6 -----. ------ 2. 2 The domain is (3)
Your solution for the second example was wrong. When you crossed multiplied x to 3y-1 you get 3xy-x, *not* 3xy-3x. If you're reading this, no you're not seeing things XD
sir i think you made a mistake at 12:50. please reconsider that. In(x+5)-1...........then you wrote it like In(x-5)-1 divided by 3. isn`t it supposed to be In(-x-5) all divided by 3?
A question The domain of the inverse function at 6:55 is said to be [ 0 , infinity ) but shouldnt it be ( - infinity , infinity ) ? the function 1/2x^2 + 3 has no restrictions...
i understand you more than my actual math teacher. i also got a different answer for the second problem, but i see what i did wrong... i think lol. thank you!!
Sir,is it still correct if at 3:14 the 3yx can be on the right side and it will be -3yx and then leaving the -3x on the right side and the 1 from the left will be -1 on the right? Is the function could still be correct? Cause I was confused you had a video of this before I watched it first before this but in this video it's differenct solution.Does that mean both are correct? I rewrite how you solved the equation and that's how you do it before
In 2:54 why did you distribute the X to make it -3x. In other words what rule were you using because I can't remember how we come to distribute this that it becomes 3x.
Great stuff, however on equation f(x)=e^3x+1 after introducing the natural logarithm you wrote.. ln(x-5).. instead of ln(x+5), why though? Maybe I'm wrong or it was a mistake..
So I know theres a mistake on the second one, but can I just ask anyone who sees this: this is an applicable way to solve for the inverse of a rational function? Ive been learning it a different way for a few days now, but the cross-multiplication method is new to me. Just want to know if I can use this on these problems going forward or if its specific to this one particular problem
Hey thanks for the video, but there is a problem at 2:40 where you cross multiplied, we all make mistakes : ) , if you could update the video or make an highlight , Thanks a lot
i thought the next would be, x(3y-1) = 2y+5 which you will be going to distribute or multiply the x to 3y-1 that will give you the answer of 3xy-x =2y+5.. dunno if thats correct tho.
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at 2:48 when you cross multiply x*(3y-1) you give the solution as 3yx-3x, it should be 3yx-x and the final answer for the inverse function of F(x) becomes y=(x+5)/(3x-2)
This ..I thought I did wrong
correct
i got (-x-5)/(2-3x)
@@zalbesweaty7761 me too i think this is the right one...
@@zalbesweaty7761 well actually just multiply all with -
One Trillion times more helpful than any class material for college pre-calc. bless you, JG.
Bruh I'm a sophomore in high school and I have to learn this crap 😭
@@kit_kat0686i pray for you. i’m doing college pre calc, same as op and i cant fathom the chapter that deals with this. i’m also working with logarithmic and exponential functions which i am not a fan😤
Me rn but the class is online on edmentum 💀 I'm gonna be in 11th grade soon and I have no idea if I'll make it mentally. I hope everyone seeing this passes with flying colors, this is really complicated, so make sure to drink water and take notes
Your solution in the second problem is wrong. You cross multiplied x by 3y-1 and your answer is 3yx-3x which is supposed to be 3yx-x
thank you. i paused for a second then decided to look at the comments.
Haley Kreger SAME!
Omg thanks for confirming I have a test in 5 mins and I thought I forgot how to cross multiply 😂
you're right i notice too lol
yeah i caught that too, thanks for the verification
Yes, We are all brothers and sisters against math homework, one small mistake will not divide us and stop us from slaughtering our adversaries. We shall rise
well put
AMEN BROTHER
AAAAAAAAAAAAAAAAAA
So, tomorrow is my calculus quiz and I am studying today lol
Such a Great Teacher he is. May ALLAH bless you !
I don’t have a group study nor a study lab, watching your videos and just staying repetitious helps a lot
At 2:48 when you cross multiply x*(3y-1) it should be 3yx-x, instead of 3yx-3x, and the final answer for the inverse function of f(x) becomes y=(x+5)/(3x-2)
00:01 Finding the inverse function algebraically and how to graph inverse functions.
02:53 Finding the inverse function by moving terms and isolating variables.
05:38 Explaining domain, range & inverse functions.
08:16 Understanding domain, range, and inverse functions with fractions, square roots, and graphs
10:51 Finding inverse functions using natural logs
13:54 Understanding domain and range in inverse functions
16:52 Proving two functions are inverses of each other
19:15 Identifying inverse functions and using line tests in graph analysis
21:36 Inverse functions have symmetry across the line y equals x.
thanks
i honestly love you so much and i don't know where my grades or my academic success would be if it weren't for you
Thank you really. I plan to take accounting since I can't pursue Computer science for now. As a grade 11 student, this channel helped me a lot since grade 9. Thank you for helping me out through my hard times. I love your voice it's so calming
Thank you so much, I have been struggling understanding my modules ever since school started this year. You have taught me more than my teachers and the endless modules they give.
This RUclips channel is my savior!😍😍😍
Thank you so much, i know this probs means nothing but just know there are people out there that realy appreciate your help!
yeah.,, I paused on the 2nd example at 2:50. must be 3yx-x.
But thanks anyway. still helps.
Yea
ya correct me confuse to
I was absolutely losing my fucking mind over that problem.
@@justinmontenegro7964 tru
Thank you so much. I watched all your videos and I passed my finals. I just wanna congratulate you on a job well done
Hello Sir, your teaching techniques are same as my professor does in the class, so it makes me lots easier to understand, thank you!
This means that your professor learned from him 😂
@@valerylouis6747 I think so 🤔🤣🤣🤣!
.thanks for everything you're doing even if u made a mistake but you're still the best sir
This teacher is amazing
At 12:48, it should be ln(x+5).
ye
Very Good, The Organic Chemistry Tutor, Keep It Up!
My test is tomorrow and you make it so much better to understand it!! Thank you so much.
in 12:56 aint it supposed to be "ln(x+5)-1/3" basically the 5 is supposed to be positive and not -5 right?
Best tutor in the whole world xx
this guy take things nice and slow and thats perfect for me. Thanks bro
12:50 you wrote (x-5) where it should be (x+5)
I saw this aswell yeah
i cant believe vloggers get paid more than this guy. Legend 👍
Great video, despite the tiny mistake. Final answer for second question is, y = x+5/3x-2
U know whats the difference between khan academy and OCT?
Khan academy : Has humor
OCT : straight to the point
Math is my hobby, and you're among the best.
My love for this channel is more than my life 🤩🤩
6:14 if you want to get the domain easily just used this
Equal it to 0:. 2x-6=0
Transposed: 2x=0+6
Divided it. 2x=6
-----. ------
2. 2
The domain is (3)
Thought I was buggin when I saw -3x 😂
the best videos that are ever uploaded in youtube tnx very much sir
This was so much easier to grasp ! Thanks a lot!
I looked for many videos on inverse function but honestly this video was the best of all covering all the aspects of the inverse function. Thank you.
You're telling the truth.
Thank you so much!!! This video helped me in the pandemic we are currently in
The comments confirmed I wasn't going insane lol. Anywho, thanks for all your vids! I'm a loyal sub 🦋
Hello!!
Thank you so much for ur wonderful lessons.
Ur explanation makes our topics really easy
Hope you continue doing this 🙏
thank you so much dude, you really are out here doing gods work.
We all make mistakes.. either way thanks. All of your videos are a huge help.
Thank you for your very helpful and insightful videos. For the equation at 1:54, I get y = x+5 over 3x-2.
Same.
Correct
Simply the best!
Your solution for the second example was wrong. When you crossed multiplied x to 3y-1 you get 3xy-x, *not* 3xy-3x.
If you're reading this, no you're not seeing things XD
I thought i was incorrect. Thnx for clarifying.
OMG THANK YOU! for a minute i was like "I DONT KNOW ANYTHING ANYMORE!" LOL
yess! i tought i was wrong lol
so the answer is 5+x/3x-2?
i also noticed that lol
your videos are so useful, thank you so much
At 12:47, shouldn't it be x + 5 instead of x - 5?
thats what i thought too meaning we are right?
This really helped thank you sir
As a college studdent, this is significantly more helpful than reading a required reading made up of 20 pages
College?i am learning this in 11th grade i swear
@@KaisbsAbahhs Yeah, its precalculus. Which you also have in College. Depends on ur country ig. Had it in 11th Grade, had it again in 1st year Uni.
Thankx man omg this video save my grade
Thank you so much for this video!! You save my day !!
me2
Thank you po sir🤗❤ I always watch your video po❤
You are a life savior
Thank you One million times.
sir i think you made a mistake at 12:50. please reconsider that.
In(x+5)-1...........then you wrote it like In(x-5)-1 divided by 3.
isn`t it supposed to be In(-x-5) all divided by 3?
I noticed the same thing.
Facts thought I was tripping, but we get the concept tho
Thanks it was very useful for last minute revision
A question
The domain of the inverse function at 6:55 is said to be [ 0 , infinity ) but shouldnt it be ( - infinity , infinity ) ?
the function 1/2x^2 + 3 has no restrictions...
yes, x can be negative since it is raised by an even exponent.
Can u clarify it pls if you understand.... I am thinking of the same
You are right
after you cross pultipled at 2: 58 , x * 3y -1 , should've been 3yx -1x, but you gave it 3yx -3x.
other wise i love your curses. thank yu so much
the best video for inverse equation
Your videos are so satisfying 💗❣️
I like your math video they help alot❤
thank you so much for uploading this video sir. God bless you. Great job.
Dude it really helps me..thanksss
I love your videos they are soo helpful!
Thank you, this was very helpful!
i understand you more than my actual math teacher. i also got a different answer for the second problem, but i see what i did wrong... i think lol. thank you!!
Amazing and you solve it good
sometimes I think I´m stuck, because I don´t understand a problem, but then, thanks to your samples I can see the problems with "different eyes"
Learned so much from you than my complicated Senior high teacher😒
Sammeeee
Just wondering, at about 12:45, why did ln(x+5) change to ln(x-5)?
Sir,is it still correct if at 3:14 the 3yx can be on the right side and it will be -3yx and then leaving the -3x on the right side and the 1 from the left will be -1 on the right? Is the function could still be correct? Cause I was confused you had a video of this before I watched it first before this but in this video it's differenct solution.Does that mean both are correct? I rewrite how you solved the equation and that's how you do it before
how did you get 3x on 2:53? is it not going to be -x
3x there is error. Yes, it should be -x.
On that part, it should be 3yx-x... Thus, the final answer is: f^-1 (x) = x+5/3x-2
Great explanation my friend you are great at teaching
You are marvelous!
Great 👍🏻 ... Thank you very much 😊
This was great! It helped a lot thank you so much!!!
The final answer is x+5 divided by 3x-2
I'M CORRECT THENN!! THANK YOU SIR!
lol I felt pretty stupid wondering how he got 3x
Thank you so much, Ive learnt a lot.🙏
You're unique👏
The third problem does really help me
But if you apply the inverse function method to find the range of main function it would be all real numbers .... but in the video it's [0, ♾️) how?
thanks men you explain how can it be happen step by step and what do you do to get that.. nice bro keep it up
Sir plz upload vedio on combined functions logarithmic and trigonometric of this type how could we find domain and range of sin-1[ logx/3)]
You are the GOAT
OMG IT IS SO AWSOME...u know wt i just subscribed ur channel keep it up bro.... (but the 2nd e.g???)
In 2:54 why did you distribute the X to make it -3x. In other words what rule were you using because I can't remember how we come to distribute this that it becomes 3x.
Thank you!
وحق الله انت طركاعة (مبدع)
انا طالب كلية ولكن الدكتور لايشرح لنا هكذا انا من العراق
حمزه البصراوي same
طركاعه
thank u so much :( in these time of the corona virus this is so helpful
i'm glad this exist ;-;
very helpful video thanks :)
Minute 2:05 how do you
Cross multiply and make (x)-1=3x?
Great stuff, however on equation f(x)=e^3x+1 after introducing the natural logarithm you wrote.. ln(x-5).. instead of ln(x+5), why though? Maybe I'm wrong or it was a mistake..
Yeah i noticed it too not sure if its a mistake or not...
@@donashenit's a mistake
@@ruslana5600 yupp thanks
I think that's a minor mistake,, no one is perfect. Sir just continue, that's a great, KUDOS!!!!!!!!!!
At 5:35, does not > changes into < and equal to 6? since it was -6 on left side.
in 12:48 You Have Wrote ln(X-5) It Is ln(X+5)
Yes
you the man
Very helpful!
Really helpful
So I know theres a mistake on the second one, but can I just ask anyone who sees this: this is an applicable way to solve for the inverse of a rational function? Ive been learning it a different way for a few days now, but the cross-multiplication method is new to me. Just want to know if I can use this on these problems going forward or if its specific to this one particular problem
Hey thanks for the video, but there is a problem at 2:40 where you cross multiplied, we all make mistakes : ) , if you could update the video or make an highlight , Thanks a lot
at 18:45 why does 2 cancel each other? i never understood that and i don't know how to google it.
bruh
i thought the next would be, x(3y-1) = 2y+5 which you will be going to distribute or multiply the x to 3y-1 that will give you the answer of 3xy-x =2y+5.. dunno if thats correct tho.