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

This algebra video tutorial explains how to find the inverse function and express the domain and range using interval notation. It includes examples with fractions, square roots, and graphs.
Introduction to Functions: • Functions - Vertical L...
Evaluating Functions:
• Evaluating Functions -...
Function Operations:
• Function Operations
Increasing and Decreasing Functions:
• Increasing and Decreas...
Relative Maximum & Minimum Values:
• Identifying The Relati...
_____________________________________
Relations and Functions:
• Relations and Function...
Domain and Range From a Graph:
• Domain and Range of a ...
How To Find The Domain of a Function:
• How To Find The Domain...
Average Rate of Change of a Function:
• Average Rate of Change...
The Difference Quotient of a Function:
• Difference Quotient
_____________________________________
Evaluating Piecewise Functions:
• Evaluating Piecewise F...
Graphing Piecewise Functions:
• Graphing Piecewise Fun...
Composite Functions:
• Composite Functions
How To Evaluate Composite Functions:
• How To Evaluate Compos...
Composite Functions - Data Table:
• How To Evaluate Compos...
Comp. of 3 Functions - Data Table:
• Composition of Three F...
Decomposing Functions:
• Decomposing Functions ...
_________________________________
Introduction to Inverse Functions:
• Introduction to Invers...
How To Find The Inverse of a Function:
• How To Find The Invers...
Verifying Inverse Functions:
• Verifying Inverse Func...
Horizontal Line Test - 1 to 1 Functions:
• Horizontal Line Test a...
Vertical Line Test:
• Vertical Line Test
Graphing Inverse Functions:
• Graphing Inverse Funct...
Composite and Inverse Functions:
• Composite Functions an...
__________________________________
Even and Odd Functions:
• Even, Odd, or Neither ...
Transformations of Functions:
• Transformations of Fun...
Linear Functions:
• Linear Functions
Functions and Graphs - Problems:
• Functions and Graphs |...
Functions - Test Review:
• Functions
______________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

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

[@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😤

[@mewbies_camera]

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

[@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.

[@Dumbkin]

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

[@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)

[@MotorCityGas]

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

[@Ladymoures553]

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

[@user-zp4bd2ie1m]

This teacher is amazing

[@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

[@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.

[@maestro1894]

bro ty

[@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

[@haney1574]

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

[@maxsindo7946]

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

[@arrowspice6421]

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

[@billpham9092]

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

[@amiteshdas1511]

ye

[@anjanigopaluni2006]

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

[@fionaTK3005]

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 😂

[@fionaTK3005]

@@valerylouis6747 I think so 🤔🤣🤣🤣!

[@roseinth9768]

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

[@wadup6767]

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

[@deus7536]

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

[@Sultan_A]

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

[@emilyhamilton726]

Thank you, this was very helpful!

[@liamsliam8662]

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

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[@ShurooqFadhil-lx8fp]

This KZbin channel is my savior!😍😍😍

[@eurekateklemariam2751]

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

[@rafiaiftikhar5888]

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

[@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.

[@yeauseeit]

Thought I was buggin when I saw -3x 😂

[@clousdy5464]

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

[@loveny7692]

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

[@cacao123451]

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

[@ash-zm7ol]

me2

[@zakiatabassum3101]

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

[@pankalpvvvora4781]

Thanks it was very useful for last minute revision

[@koddiiyall]

Thank you so much, Ive learnt a lot.🙏

[@wizeman8532]

Simply the best!

[@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

[@MrNorthDraws]

Best tutor in the whole world xx

[@judonomi]

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

[@hazza2247]

I saw this aswell yeah

[@chrispinekabitanga]

This really helped thank you sir

[@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)]

[@hadishandai1182]

Great explanation my friend you are great at teaching

[@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!!

[@arviemoises6098]

Your videos are so satisfying 💗❣️

[@tmerkury2813]

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

[@mevanperera6171]

Great 👍🏻 ... Thank you very much 😊

[@ylizacorpin8092]

Dude it really helps me..thanksss

[@xandern9]

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

[@sangsunlee1184]

the best video for inverse equation

[@giannalomeli2216]

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

[@junejulie2160]

Amazing and you solve it good

[@IOUA15]

Thankx man omg this video save my grade

[@user-kr3fn3kb7s]

I love your videos they are soo helpful!

[@k.spencer1]

Though the answer was wrong for one of the problems, the concept was correct so I thank you for keeping this video uploaded. It definitely helped with my homework. @the organic chemistry tutor

[@kerenshemaiahromasanta1308]

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

[@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

[@edenkedir9447]

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

[@MIDNIMOJANAQOOW]

Thank you One million times.

[@saraaldossary5453]

You are a life savior

[@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

[@itswoody0131]

Very helpful!

[@kunalsawhney4083]

very helpful video thanks :)

[@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

[@itaynevo4353]

Thank you!

[@user-so4bl9nj8o]

I like your math video they help alot❤

[@resa3094]

thank u so much :( in these time of the corona virus this is so helpful

[@christalfosso]

You are marvelous!

[@Isaac_blingz]

Really helpful

[@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

[@maddiemartin9073]

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

[@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"

[@footballnow981]

you the man

[@tiernanomahoney8826]

Thank you alot

[@toad4112]

thank you

[@elizabethduffy1958]

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

[@QueenLori07]

This helped me a ton, thanks!! There were many errors here and there, small ones, yes.. not only on the equations, and it'd cost a lot if that were done on a test. Nevertheless, the video was really helpful.

[@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

[@ShadowGamer507]

You are the GOAT

[@MrNobody8903]

i'm glad this exist ;-;

[@SharkRockstar]

I love you!

[@zenebewerkwubalegobena1537]

You're unique👏

[@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.

[@ayah9924]

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.

[@user-gb6jp7ib8v]

hello mr JG I HAVE A QUESTION KINDLY ABOUT INVERSE FUCTIONS WAITING FOR YOUR RESPONSE

[@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?

[@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.

[@user-mm7hb6mq6h]

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

[@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

[@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)

[@somegremlin1596]

How to find the inverse function of f(x) = x^3 - 2x? I had a question similar to this on a test and I was seemingly supposed to change the range and domain of the function to get a valid inverse function but idk how to do that

[@sabarauf2829]

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

[@mathstrick8467]

Which perogrm or app u r using for this?

[@istitutoeuropeodidesign7403]

EGD.formulario(65/99/7-6). drk non riconosciuto. in RSDA in 315_55_4(8)+8. riconosciuto RFF.

[@shirleyw9860]

Ty

[@mulwamatheka6222]

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

[@KrshnVisualizer]

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

[@saracanter539]

Sammeeee

[@emmanuelonyeagba8276]

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

[@springdayisnottoday371]

the third problen, why can't I cube the x and radical first before transposing 1 on both sides?

[@djklsjfjflkdsjfsd1006]

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.