Domain & Range - Free Formula Sheet: bit.ly/4eheN2W Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Functions and Graphs: th-cam.com/video/ZTEv8OnGaxo/w-d-xo.html Transformations of Functions: th-cam.com/video/tyQLp6x-GoU/w-d-xo.html Graphing Polynomial Functions: th-cam.com/video/rOOefdqMvtA/w-d-xo.html
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)
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)
@@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
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.
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
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.
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!!
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)
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...
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..
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.
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
Yea after plugging in the real answer as f^-1 into f, I found the answer for #2 to be -x-5/-3x+2. When you check this against the f(x), you do get x so that will be your one-to-one.
Domain & Range - Free Formula Sheet: bit.ly/4eheN2W
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Functions and Graphs: th-cam.com/video/ZTEv8OnGaxo/w-d-xo.html
Transformations of Functions: th-cam.com/video/tyQLp6x-GoU/w-d-xo.html
Graphing Polynomial Functions: th-cam.com/video/rOOefdqMvtA/w-d-xo.html
😊
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 -
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
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)
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
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
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
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 🤔🤣🤣🤣!
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.
Thank you so much. I watched all your videos and I passed my finals. I just wanna congratulate you on a job well done
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
.thanks for everything you're doing even if u made a mistake but you're still the best sir
This teacher is amazing
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
My test is tomorrow and you make it so much better to understand it!! Thank you so much.
Thank you so much, i know this probs means nothing but just know there are people out there that realy appreciate your help!
U know whats the difference between khan academy and OCT?
Khan academy : Has humor
OCT : straight to the point
Very Good, The Organic Chemistry Tutor, Keep It Up!
At 12:48, it should be ln(x+5).
ye
This TH-cam channel is my savior!😍😍😍
i cant believe vloggers get paid more than this guy. Legend 👍
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
Great video, despite the tiny mistake. Final answer for second question is, y = x+5/3x-2
Thought I was buggin when I saw -3x 😂
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
Math is my hobby, and you're among the best.
Best tutor in the whole world xx
the best videos that are ever uploaded in youtube tnx very much sir
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
My love for this channel is more than my life 🤩🤩
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.
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 for your very helpful and insightful videos. For the equation at 1:54, I get y = x+5 over 3x-2.
Same.
Correct
Thank you so much!!! This video helped me in the pandemic we are currently in
We all make mistakes.. either way thanks. All of your videos are a huge help.
Hello!!
Thank you so much for ur wonderful lessons.
Ur explanation makes our topics really easy
Hope you continue doing this 🙏
This was so much easier to grasp ! Thanks a lot!
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"
The comments confirmed I wasn't going insane lol. Anywho, thanks for all your vids! I'm a loyal sub 🦋
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
thank you so much dude, you really are out here doing gods work.
your videos are so useful, thank you so much
Thankx man omg this video save my grade
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)]
Learned so much from you than my complicated Senior high teacher😒
Sammeeee
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!!
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)
This really helped thank you sir
Thank you so much for this video!! You save my day !!
me2
Thanks it was very useful for last minute revision
thank you so much for uploading this video sir. God bless you. Great job.
I think that's a minor mistake,, no one is perfect. Sir just continue, that's a great, KUDOS!!!!!!!!!!
Simply the best!
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
the best video for inverse equation
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
You are a life savior
وحق الله انت طركاعة (مبدع)
انا طالب كلية ولكن الدكتور لايشرح لنا هكذا انا من العراق
حمزه البصراوي same
طركاعه
Thank you One million times.
I like your math video they help alot❤
Thank you po sir🤗❤ I always watch your video po❤
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
Thank you, this was very helpful!
I love your videos they are soo helpful!
Dude it really helps me..thanksss
OMG IT IS SO AWSOME...u know wt i just subscribed ur channel keep it up bro.... (but the 2nd e.g???)
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
Amazing and you solve it good
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?
you teach better than my teacher
Great explanation my friend you are great at teaching
Your videos are so satisfying 💗❣️
This was great! It helped a lot thank you so much!!!
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 want to cry
Honestly
Atleast cry in my arms
Felt 😔
You are marvelous!
thank u so much :( in these time of the corona virus this is so helpful
I still neeed more on inequalities
Thank you so much, Ive learnt a lot.🙏
The second problem got me to search for distributive properties
Just wondering, at about 12:45, why did ln(x+5) change to ln(x-5)?
You are the GOAT
I wish this man was my teacher 😭
Great 👍🏻 ... Thank you very much 😊
You're unique👏
I'm sorry please check your signs on the natural log equation, you switch addition with subtraction.
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.
Thank you!
i'm glad this exist ;-;
TBH this is more understandable than my books
very helpful video thanks :)
you've made a mistake cross multiplying . It should be 3xy - x = 2y + 5. So the inverse should be (x + 5)/(3x - 2).
We still need more on inequalities
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 12:48 You Have Wrote ln(X-5) It Is ln(X+5)
Yes
you the man
Yea after plugging in the real answer as f^-1 into f, I found the answer for #2 to be -x-5/-3x+2. When you check this against the f(x), you do get x so that will be your one-to-one.
happy teachers day