Inverse Functions - Domain & range- With Fractions, Square Roots, & Graphs

[@TheOrganicChemistryTutor]

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: kzbin.info/www/bejne/kIWop2uFo6yUrtE Transformations of Functions: kzbin.info/www/bejne/qqq0faNsrZJ6pbc Graphing Polynomial Functions: kzbin.info/www/bejne/qICylpmaprKpqqM

[@tanice807]

😊

[@constantinoskerasias8019]

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)

[@ronicqdumbu3847]

This ..I thought I did wrong

[@ashwinlakshminarasimhan1334]

correct

[@zalbesweaty7761]

i got (-x-5)/(2-3x)

[@fatimaazzahra789]

@@zalbesweaty7761 me too i think this is the right one...

[@fatimaazzahra789]

@@zalbesweaty7761 well actually just multiply all with -

[@reignhard4696]

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

[@anthonygonzalez5645]

well put

[@saracanter539]

AMEN BROTHER

[@nuraz5202]

AAAAAAAAAAAAAAAAAA

[@TheMostExcellentPeer]

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

[@HayleeBaely]

thank you. i paused for a second then decided to look at the comments.

[@ChildOfMercy]

Haley Kreger SAME!

[@daniyalbadi488]

Omg thanks for confirming I have a test in 5 mins and I thought I forgot how to cross multiply 😂

[@ronaldospringer1779]

you're right i notice too lol

[@procrastinateXrok]

yeah i caught that too, thanks for the verification

[@rafiaiftikhar5888]

So, tomorrow is my calculus quiz and I am studying today lol Such a Great Teacher he is. May ALLAH bless you !

[@gutside8069]

One Trillion times more helpful than any class material for college pre-calc. bless you, JG.

[@kit_kat0686]

Bruh I'm a sophomore in high school and I have to learn this crap 😭

[@sophiap.6952]

@@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😤

[@cyo_gollyna]

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

[@iamjuliuskayama]

yeah.,, I paused on the 2nd example at 2:50. must be 3yx-x. But thanks anyway. still helps.

[@kikiyolandaa]

Yea

[@mdfaris5462]

ya correct me confuse to

[@justinmontenegro7964]

I was absolutely losing my fucking mind over that problem.

[@qu9518]

@@justinmontenegro7964 tru

[@abdikadirmohamed3935]

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)

[@billpham9092]

At 12:48, it should be ln(x+5).

[@amiteshdas1511]

ye

[@mimiky_y]

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

[@MotorCityGas]

I don’t have a group study nor a study lab, watching your videos and just staying repetitious helps a lot

[@ceobipuff5066]

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.

[@TK_Desang]

Hello Sir, your teaching techniques are same as my professor does in the class, so it makes me lots easier to understand, thank you!

[@valerylouis6747]

This means that your professor learned from him 😂

[@TK_Desang]

@@valerylouis6747 I think so 🤔🤣🤣🤣!

[@pupinia6936]

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

[@aaliyahandrews3797]

Thank you so much. I watched all your videos and I passed my finals. I just wanna congratulate you on a job well done

[@judonomi]

12:50 you wrote (x-5) where it should be (x+5)

[@hazza2247]

I saw this aswell yeah

[@Radon27]

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.

[@WithGio]

thanks

[@Ladymoures553]

.thanks for everything you're doing even if u made a mistake but you're still the best sir

[@جبرتيد.أحمد]

This teacher is amazing

[@maxsindo7946]

Thank you so much, i know this probs means nothing but just know there are people out there that realy appreciate your help!

[@deus7536]

U know whats the difference between khan academy and OCT? Khan academy : Has humor OCT : straight to the point

[@arrowspice6421]

My test is tomorrow and you make it so much better to understand it!! Thank you so much.

[@grandelechuga]

Thought I was buggin when I saw -3x 😂

[@ShurooqFadhil-lx8fp]

This KZbin channel is my savior!😍😍😍

[@zakiatabassum3101]

Great video, despite the tiny mistake. Final answer for second question is, y = x+5/3x-2

[@praxnimation]

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)

[@SandalDad]

this guy take things nice and slow and thats perfect for me. Thanks bro

[@xandern9]

i cant believe vloggers get paid more than this guy. Legend 👍

[@Sultan_A]

Very Good, The Organic Chemistry Tutor, Keep It Up!

[@MrNorthDraws]

Best tutor in the whole world xx

[@paulmaggiar8274]

Thank you for your very helpful and insightful videos. For the equation at 1:54, I get y = x+5 over 3x-2.

[@patricenembhard3755]

Same.

[@ymz.hu.3gyt]

Correct

[@danmike2305]

Math is my hobby, and you're among the best.

[@haney1574]

This was so much easier to grasp ! Thanks a lot!

[@eurekateklemariam2751]

the best videos that are ever uploaded in youtube tnx very much sir

[@Azizam-j3c]

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...

[@markjosephmanaigquizana1394]

yes, x can be negative since it is raised by an even exponent.

[@DarkPrincess_M]

Can u clarify it pls if you understand.... I am thinking of the same

[@YohannesAlemayehu-om7iu]

You are right

[@mohammedaziz4964]

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.

[@zanonoza4918]

You're telling the truth.

[@loveny7692]

My love for this channel is more than my life 🤩🤩

[@tmerkury2813]

We all make mistakes.. either way thanks. All of your videos are a huge help.

[@giannalomeli2216]

The comments confirmed I wasn't going insane lol. Anywho, thanks for all your vids! I'm a loyal sub 🦋

[@elizabethduffy1958]

Just wondering, at about 12:45, why did ln(x+5) change to ln(x-5)?

[@ibtisaammohamed4983]

Thank you so much!!! This video helped me in the pandemic we are currently in

[@anjanigopaluni2006]

Hello!! Thank you so much for ur wonderful lessons. Ur explanation makes our topics really easy Hope you continue doing this 🙏

[@YoungVinny]

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

[@honeymartin9073]

I thought i was incorrect. Thnx for clarifying.

[@ErinRaciell]

OMG THANK YOU! for a minute i was like "I DONT KNOW ANYTHING ANYMORE!" LOL

[@noriddin1685]

yess! i tought i was wrong lol

[@noriddin1685]

so the answer is 5+x/3x-2?

[@maxmendoza7118]

i also noticed that lol

[@iOmarYGY]

The final answer is x+5 divided by 3x-2

[@lesliea.lolong155]

I'M CORRECT THENN!! THANK YOU SIR!

[@Hello-iq5ux]

lol I felt pretty stupid wondering how he got 3x

[@LAびば]

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?

[@wizeman8532]

Simply the best!

[@hwehwe112]

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

[@saraaldossary5453]

You are a life savior

[@IOUA15]

Thankx man omg this video save my grade

[@clousdy5464]

thank you so much dude, you really are out here doing gods work.

[@siuol_ly6141]

As a college studdent, this is significantly more helpful than reading a required reading made up of 20 pages

[@KaisbsAbahhs]

College?i am learning this in 11th grade i swear

[@siuol_ly6141]

@@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.

[@noneofthatmate]

your videos are so useful, thank you so much

[@VihaanRoy-yf3nv]

At 12:47, shouldn't it be x + 5 instead of x - 5?

[@LAびば]

thats what i thought too meaning we are right?

[@ezyyasir4799]

how did you get 3x on 2:53? is it not going to be -x

[@synah_]

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

[@chrispinekabitanga]

This really helped thank you sir

[@sabarauf2829]

At 5:35, does not > changes into < and equal to 6? since it was -6 on left side.

[@selamd7279]

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

[@pankalpvvvora4781]

Thanks it was very useful for last minute revision

[@MIDNIMOJANAQOOW]

Thank you One million times.

[@KrshnVisualizer]

Learned so much from you than my complicated Senior high teacher😒

[@saracanter539]

Sammeeee

[@Impoweredbyfire]

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"

[@muneichiganangana9969]

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?

[@chriswilliams5291]

I noticed the same thing.

[@CHRISA2T]

Facts thought I was tripping, but we get the concept tho

[@sangsunlee1184]

the best video for inverse equation

[@muhadisaishaq7876]

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)]

[@milagrosaguirre9581]

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!!

[@kerenshemaiahromasanta1308]

Thank you po sir🤗❤ I always watch your video po❤

[@stalinmatos3296]

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.

[@junejulie2160]

Amazing and you solve it good

[@ylizacorpin8092]

Dude it really helps me..thanksss

[@nearobserver29]

in 12:48 You Have Wrote ln(X-5) It Is ln(X+5)

[@BECDharshiniS]

Yes

[@BryanMarroquin-i6q]

Minute 2:05 how do you Cross multiply and make (x)-1=3x?

[@ChristabelOmotosho-y4u]

I like your math video they help alot❤

[@ShelbySchneider-g6j]

I love your videos they are soo helpful!

[@cacao123451]

Thank you so much for this video!! You save my day !!

[@ash-zm7ol]

me2

[@roseinth9768]

thank you so much for uploading this video sir. God bless you. Great job.

[@christalfosso]

You are marvelous!

[@hadishandai1182]

Great explanation my friend you are great at teaching

[@zenebewerkwubalegobena1537]

You're unique👏

[@arviemoises6098]

Your videos are so satisfying 💗❣️

[@emilyhamilton726]

Thank you, this was very helpful!

[@kuraido1188]

3:15 how is it 3yx-3x but x multiplied by -1 is -1x???

[@mulwamatheka6222]

I think that's a minor mistake,, no one is perfect. Sir just continue, that's a great, KUDOS!!!!!!!!!!

[@ShadowGamer507]

You are the GOAT

[@حمزهالبصراوي-ر8ز]

وحق الله انت طركاعة (مبدع) انا طالب كلية ولكن الدكتور لايشرح لنا هكذا انا من العراق

[@7seeds343]

حمزه البصراوي same

[@thekidhaku4910]

طركاعه

[@lorenasangabriel7611]

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

[@Coptic-Cross]

you teach better than my teacher

[@ezzybizzii8227]

The third problem does really help me

[@DarkPrincess_M]

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?

[@edenkedir9447]

OMG IT IS SO AWSOME...u know wt i just subscribed ur channel keep it up bro.... (but the 2nd e.g???)

[@adamhardin3678]

Where did you get the 3x i thought x × -1= -x in 3:04

[@IsJdog911]

@2:49 how did you get 3X please explain ???

[@BeMcLarty]

I feel you, it was a mistake I guess:)

[@markkevinrubipenero181]

Same feeling, I think thats a mistake.

[@itaynevo4353]

Thank you!

[@wadup6767]

This was great! It helped a lot thank you so much!!!

[@mevanperera6171]

Great 👍🏻 ... Thank you very much 😊

[@MrNobody8903]

i'm glad this exist ;-;

[@nearobserver29]

AT 2:48 It Is 3yx-x Not 3yx-3x.

[@hitk1d]

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

[@koddiiyall]

Thank you so much, Ive learnt a lot.🙏

[@Shortsbymani]

I wish this man was my teacher 😭

[@LutaKura]

at 18:45 why does 2 cancel each other? i never understood that and i don't know how to google it.

[@varshalan7524]

bruh

[@emmanuelonyeagba8276]

I'm sorry please check your signs on the natural log equation, you switch addition with subtraction.

[@ceth5266]

happy teachers day