Finding the Inverse of a Function or Showing One Does Not Exist, Ex 1

[whiteagle711]

i love his voice and he did one of my homework problems:)

[Themesticks]

i am sexually arroused by your handwriting

[smbatool95]

thnxx :)

[MrKaiizenn]

Do you change anything in Domain and Range?

[1ReJeCt6]

@patrickJMT Thank you so much!!! This was incredibly helpful!

[ThePsionicMatrixTM]

in what order do u arrange ur the stuff on ur website? It's not alphanumerical :$

[patrickJMT]

@ThePsionicMatrixTM the calculus stuff, at least, is in sequential order. the algebra stff, is not really ordered very well at the moment! gonna fix it though

[ThePsionicMatrixTM]

@patrickJMT I actually found the solution, if I click on contact, there's a search bar there in which I can type whatever I want and go straight to it. Thank you for everything, I'm in my last year of high school now and I'm doing 4 units of maths and your videos helped me tremendously.

[kinanbonx3]

Thank you :)

[TheSmartgirl8]

Whewww, this is very helpful, it's going to help me for my PreCal exam tomorrow. Thank you.

[ziggy00010]

Thanks alot, well explained



[nicolegeary123]

oh my god, you just saved me. THANK YOU SO MUCH, seriously. so much love.

[supersanya10]

can you please post some videos with a lot of examples to practice with? Really, tough complicated ones though. Thank you!

[weecupid]

Thank youuuu!!!!!!!!!!!!!!!!!!!!

[SarahAlDosery]

thank you :D

[knight9eagle]

THx dude but does there have to be a 1?

[nanamilucia123]

It still feels so awkward seeing that you use left hand XDDDD But I love your videos. You have no idea how much I was able to improve in homework and tests due to these short, simple, and to-the-point videos.

[ihowi3]

Come teach my class from now on lol

[x3zinja12]

I think I learned more from this tutorial than I have all semester. Thank You!

[PraTaeTae]

wowowowowowow! i'm very confused of my teacher's method today until i watched this.. thnx dude

[sheametsfan6]

This was very helpful. Thank you (btw, left handed people are awesome)

[kgeraghty26]

you are a badass...I passed college algebra because of your lectures. Thanks!

[Paspasrocks]

You have the best handwriting I have ever seen......AND YOU'RE LEFT HANDED!!!!!

[sheametsfan6]

@Paspasrocks HELLYEAH

[kadeem2380]

I have been watching your videos since i was in High School, in college and your still the best teacher i have ever had you rock!

[jfjif1]

YOU HELPED SOOO MUCCHH! THAAANKS :D



[3chaosticnachos]

Thank you so much for this video, stared at a similar problem for 20mins :(

[AnthonyPickett]

@carnifexism when do you ever put 2xy as 2(times)y? you should write 2y as a standard for that notation... and a dot is traditionally used as multiply in advanced math.

[XxjceeT6xX]

This was very helpful. I find your videos easier to understand than my teacher's class lectures.

Thank you very much.

[raiyan55]

what if you have absolute values?

[Novacasa312]

Can you find the inverse using logarithms? Plz and think you.

[vinegarthomas]

I understand the procedure for finding an inverse function but can you explain why this procedure works?

Thanks

[Carnifexism]

Could you do curly x's please, i at 5:55 it looks like 2 multipled by y, and it confused me for a few minutes :/

[patrickJMT]

@Carnifexism no

[Carnifexism]

@patrickJMT How about if I say an elongated 'Please'?

Plllllleeeeeeeeaaaaaassssseeee­ee?

[androcci]

@patrickJMT lol that was rude lmfao

[qRiiM12970]

@patrickJMT #Owned

[THEDARKKNlGHT1939]

@Carnifexism You are supposed to use dots for multiplication

[Carnifexism]

@THEDARKKNlGHT1939 Wut? I'm not talking in anyway about dots...

[THEDARKKNlGHT1939]

@Carnifexism Look it up you will know what I mean

[Carnifexism]

@THEDARKKNlGHT1939 WHAT?! I in NO way WHAT-SO-EVER am talking about dots meaning multiplication, can't you read? I'm talking about using the 'x variable' symbol instead of just a normal x.

[THEDARKKNlGHT1939]

@Carnifexism And what I am saying is that if you use the dot product, you will not be confused on weather or not the X is a multiplication sign or a variable. 

[dulce8910]

@Carnifexism could you go fuck yourself and be greatful?

[Carnifexism]

@dulce8910 *Grateful. I see you are 'greatful' for learning basic English..

[nighttwishxx]

thanks! :D

[ESpencer131]

two words: thank you. Seriously, this saved my life!

[Joshonator01]

Thank you. I am in PreCal now and it's been years since College Algebra (I changed my major to a math heavy major [Astronomy]). I had a problem on my homework just like your second example, except mine had F(x) = (4-3x)/(5x-4) and your step-by-step got me right through it to the point where I understand the purpose.

[sec713]

Also, who are these 9 people who dislike this? Textbook publishers?

[sec713]

This is a great explanation. My language of college algebra book is way too convoluted and my professor is too brief with his explanations, so this is a nice tool to bridge the two. Thanks.

[mollyslifeandyours]

Hi! I was wondering if you knew any videos or sites that explain how to take a function like this and answer a question like, if f(x)=... then what does f(3)=??? I thought at first it involved multiplying it's parts by 3 but now I'm thinking it might involve some of this inverse stuff...help please! anyone!!!

[campbejr1]

@mollyslifeandyours you just replace all the x's in the equation by three and solve from there

For example if the function was f(x) = 3x + 17 you would simply replace x by 3 and would get

f(3) = 3(3) + 17 hope this helps

[Smithwise]

Thank you!!!

[TheQatarimuslim]

My exam is tommorow and you help me very mutch

[MathildaBlood]

Has the inverse function got anything to do with domain and range.

[123jonathann]

Good video, but maybe have examples of other types of inverse functions? Like with parabolas, fractions multiplied by x, absolute values, radicals with indexes of 3 or 5...

[ZackeryCash]

What if the inverse you get is the same function? Is that fine?

[patrickJMT]

@ZackeryCash it does not bother me

[JacksonDReynolds]

Excellent, concise, & easy to understand! Thank you so much!

[patrickJMT]

@JacksonDReynolds you are very welcome!

[Juliet1339]

@mrnarason no, if x is the denominator or ISA part of the denominator, then it cannot equal zero because then it would not be defined. So in domain u could put x cannot equal this number (which is what makes yhe donominator zero) and the rest.

Anyway, thx sooo much!! This vid. rocks!!!!!

[asadabdaliskates]

thx dawg

[SimplyMariahElise]

i just want to say that my college alg test is in about an hour && i had NO idea how to do this. my aunt is my instructor && you would think that i would you know get "extra" help but no, -____- i dont. your channel is SERIOUSLY going to help me pass college alg. i cant thank you enough.

MUCH RESPECT && LOVE ♥♥,

Mariah(:

[patrickJMT]

@SimplyMariahElise glad i could help : ) spread the word about that videos!!

[faryalkk]

Respect!!!!!



[mrnarason]

zero can't be on the bottom?

[yarbendarben]

Great stuff, thank you

[cnull42380]

have my final tomorrow, missed the class that the teacher explained this...now i get it. thanks

[Eng1neering]

I appreciate it man. Nice people like you really make a difference.

[ntskl]

Why didn't you restrict the domain at 3:22?

[MegaMrDoe]

Thank you so much!

[Kulololi]

Dude you just saved me from failing a test

[clw52]

Thank you so much i learned this in 8mins compared to 50mins in my horrible prof. class.

[DemonGirlinHell]

you're my hero

thank you so much

[BrothaDavid]

youtube keeps trying to distract me from learning by posting video game ads. not now youtube, patrick has the wheel.

omg, a new meme. PATRICK TAKE THE WHEEL

[CelesteRepchukLife]

YOU ARE SO HELPFUL!!

[dreydin]

Waaah! Thank you so much. The second example is great!

[EddyEshkibabble]

This took three pages and two hours of explaining from my instructor (I still didn't get it.) It took you four steps and two examples- jeez.

[xbriaxclausonx09]

wow, thanks!

[ceebeetan]

Do you keep the rule of a function after it is inversed? For eg if you inverse f(x)= 1/x, x =/= 0. When you inverse f(x), does x=/= 0 still apply to f-1(x)?

[TierAngst]

Do you have a video explaining: g'(x)=1/f'(g(x))? Not real sure how to search for that.

[Aexerian11]

@TierAngst

It's called Compositon of Functions. :3

[ArcliteTANK]

I'm surprised Patrick still comments on his old videos :)

[Yukihiro21]

Seriously?! That's ALL? OMG my teacher explained this MUCH more complicated! Thanks soo much for this vid! 

[00Mj000]

you couldve left the first equation in vertex form, instead of foiling it, no?

[zamrock20]

how do i determine whether a function is one to one without drawing a graph ?

[meudeus110]

Patrick you are a awesome guy for making these videos. Thanks a lot!

[imasstupidashell]

i still don't understand :(

[xomgwhee]

the way you explain things make it seem so easy, thanks for all the great videos - really helped me a lot !

[Mr6976]

i missed the class that explained it, and i had to learn from the book and i had no clue what i was doing until i watched this! THANK YOU

[tehrunescapefreak1]

patrictjmt, everytime i need help with precal i just go to your youtube and check if you have the video, and u always do. I fucking love you. I'm about to donate some money to your site cuz without u i would be failing. if you were my teacher, i would be so horny just thinkin about u and listenin to u speak, no homo man. U are great man. lets get married. no homo again

[yumbubblegum1]

muakis papito. gracias



[karank123]

Thank you so much! :) i have a test on graphs and functions tomorrow! :( this really helped! thanks :)

[andresduarte010]

the answer to the first question don't you have to factorize it?

[majitozzz]

can you upload a video showing the case when a function cannot have a inverse function please.

[HoratioInveru]

Stop! Nvrmind. My bad

[HoratioInveru]

Wait... shouldn't it be + or - (y+4)? So it should b xsquared +6x+5 OR -xsquared-6x-13.

[SweetDeceitxo]

So helpful, thanks so much!

[ahlulbayt786]

Thanks x infinity!!! You're videos are amazing :)

[000darkprincess]

Why do I even bother going to school when I have u!

[SirGotHops]

Can you please replace my Calculus teacher?

[mrprinceque]

you are the best with explaining so far I have seen. I thank you for posting this very much.

[patrickJMT]

@mrprinceque happy that my explanation works for you

[TwinklePowderySnow]

Thank you so much; you are my new hero! You actually explain this in ways I can understand, which is something that cannot be said for my teachers.

[11matt1]

dude ur awesome thanks alot!

[patrickJMT]

@11matt1 my pleasure!

[MauricioVH92]

Thank you

[Reeeinnna]

Thank you! It's really help me a lot in math~

[SeanzyFosheezy]

This is great

[stepony5]

You are the best! Thank you! :D

[redrum41987]

wish i seen this video before my calc quiz today...my teacher never explained none of that. i understood this in two minutes compared to 1.5 hours in class. my teacher goes so much into proofs that we lose the way of finding it.

[patrickJMT]

@redrum41987 come back whenever you need it, tons of stuff here ; )

[coolboy9991]

@patrickJMT

What is an Inverse and a Function.

I need help on this. Plz reply

Thnks 4 the Help

[lemesis416]

Thank you so much! this is real helpful :)

[meator30]

...failed to stop me from using up all of my attempts at solving

f^-1 of y = e^x / 1+2e^x

There's a reason I'm almost failing calculus...

[calvinlovesgreen]

Thanks man! It was just the 2nd problem I needed helped on where there was 2 y's on on side :)

[19AnDrEw19]

@calvinlovesgreen same. My prof actually taught me this way but i forgot because I haven't done enough practice problems like this. Thanks for the reminder :)

[calvinlovesgreen]

@19AnDrEw19 No problem! Wow, I reread my previous comment and noticed the grammar errors I typed. x)

[b0ondockz]

WHY CANT MY PROFESSOR KEEP IT THIS SIMPLE??!!!! HOLY SHIT, THANK YOU!!!

[TheGuzmanTony]

Your Brilliant!

You make this understandable unlike my professor....

[chunkylover817]

You actually makes calculus look like a puzzle, you actually make it fun for me...my professor puts me to sleep -___-

My major involves a lot of physics and calculus, so i gotta learn to love it, your videos are helping me on that level too ^^thx!

[justin2793]

Thanks! I love you so much! :D

Your videos beat the living crap out of my college classes lol

[d0ntbeabitch2me]

woah, couldn't understand this in class today of 45 minutes, watched 5 minutes of this video and understood it thoroughly. Why can't my teacher be this good?

[MegaZebramonkey]

hey i was having abit of a hard time on the inverse part i understand the related domain, one-to-one,vert line tests etc.. but i just could'nt undertstand this parts.. THANKS FOR TAKING YOUR TIME TO HELPING ALL OF US (:

[dragonflar8]

Patrick= LIFE SAVER

[yisoonshin12]

your handwriting is very good!!! that along with your teaching style makes everything so clear!

[mandenakis]

better than my professor

[SimplyCindy214]

I have been following your work for two years now, and you have helped me so, so much! The way you teach helps me so much, and the methods you present are some that I even have to show my teacher, believe it or not!

And it's funny, because I haven't subscribed to you until now. I don't know why it has never crossed my mind haha. :]

Keep at it Patrick! Thank you for everything! :D

[unknown19811]

Domains and set of values???

[TezukaTsunimitsu]

Hi, great video, but i noticed u didnt restrict the domain for the f^-1(x)=x^2+6x+5. By not restricting the domain, u created another side of the curve.

[AngiePure]

your better than my pre-cal honors teacher..ALOT BETTER!!



[Bigmikeydeez]

I dont know what I would do without youtube or patrick

[patrickJMT]

@Bigmikeydeez happy i could help : ) 

[trickytwinsta]

ily babe!

[anonymoususerlol]

OH MY GOD YOU ARE A DESCENDANT OF FUCKING EINSTEIN. I SHALL BOW TO YOU WHEN I MEET YOU SOMEDAY.

[glitters171717]

shouldnt the 1st example have restrictions?

[TheSwaziki13]

i envy you, you just solve these things like you're eating a cake while I solve for my life just to save my math grades. life's unfair.

[TheSwaziki13]

i just found a new math teacher.

[littlexscreamer]

hey um, you're left-handed!

anyway thank you very much.

[agentlopez1]

My equation says q(x)= (x-5)^2 so do is still replace it q(x) with y? and what do i do with the parenthesis?

[bttrstck6993]

Just a correction, a function is 1-1 if it passes both the horizontal AND vertical line test

[sewer300]

Thank you so much!

[sweetsugarl3aby]

thank you so much! :)

[mcbeck012003]

What about domain and range?

[lolkik421]

headache

[lilbill991]

your 100 times then my math teacher.

[FyUoCuK0000]

i love you guy!

[NismoGti]

how would you find y=x^3+2?

[oglow100]

wouldn't it have been easier to just leave it in turning point form i got y=(x+3)^2-4 you can draw a parabola easily like that

[sammanslap]

thanks you rock :)

[Mobius0487]

thanks alot man. I have a horrible Pre-calc professor right now she cant teach. this helps alot

[ghmj2607]

you have an amazingly beautiful handwriting.

you make me wanna concentrate.

[FATCRYINGBABIES]

does every one-to-one function have an inverse? please answer

[CCienoo]

You're awesome. Thank you so much.

[kirstin0114]

why do you use a different radical sign?

[TheBrigadeCheif]

@mrHIGHonLIFEman let y=f(x).

So then the inverse is x = e^y

therefore y= loge(x) (through basic log laws)

you can skip the 2nd step altogether if you need to because the inverse of an exponent is it's logarithm.

[l3aIIin23]

you just boosted my exam mark by 3 - 4 marks, thanks

[loolitam]

man i have my gcses tomorrow and you just made my life much easier. THANKS!!

[gumlese]

You do not know the extent that all of your videos have helped me!

[FLIP4Life703]

You teach this stuff a lot easier than my professor. When my professor teaches us, she expects us to know this stuff right away and just skips on to the lesson.

[e3jafar]

Thanks this helped a bit XD

[FradaSquad]

Man I love nigga, man.

[Quippen]

You have such neat writing <3

[DJAndersonPresents]

Thanks alot Patrick! I have my Cambridge AS Maths Finals in about 4 hours, and your videos have helped me alot. What my teacher couldn't teach me in 2 years, you did it in 8:08 minutes. Thanks alot bro!

[222cutiepie]

cud u do more examples please, i soooo got this, thanks alot

[hareshborntodie]

oooh kay.. YOU ROCK!

[seandhayes]

thanks you saved my life sometimes my teacher is high or somethin cause i cant understand his lessons .

[Hillari2010]

Ur the best man! I LOVE you! :)

[Ana111395]

you are so smart you know how to explain really good :)

[CutieProductions01]

Must save you just saved me from a failing mark my friend. XD thank you so much.

[DARKsonofCHAOS]

lefties are intelligent

[anthonychangyonghien]

Hi could u explain to me how to determine if the function is 1 to 1? And wad if there is a limit given along with the equation? And when to use x=k and y=k to determine one to one or many to many? Thanks

[josepm00]

I dont bother going to class anymore. My prof takes 2 hours to teach something you do in 10...

[kc958]

Dude, you are going to save me on this next math test. You made this ridiculously easy. Or, as another popular comment says, you just "bitch-slapped" math. And I can respect that. Lol thanks!

[hkayani]

Very Well explained and done. Bravo, keep it up

[TheChipmunk1295]

It obviously cleared all my confusions! Thanks a lot for this one!

[guiltymoyo99]

thanx bro