Inverse Functions - The Basics!

[Magezxzx]

Can you make a topic about discriminant PLEASE?

I need to understand it better

[patrickJMT]

@Magezxzx did you even search for it? there are a bunch of videos on it already by me.

[VITHfulVIKbrah]

i subscribed. for your efforts of actully teaching on youtube. legend. you are

[44clashmash]

THANK YOU!!!! every time i watch one of your videos i learn something new and love math a bit more :D

[bashfulbrownie]

omg I love you <3 you really helped me out and explained inverses waaaaaaaaaaaaay better than my algebra II teacher. Thank You so much!

[XtraNormalVideos888]

-Faint- 

[GunZKillAV2]

dude thank you so much! you just saved my life!

[ufailkid]

17 minutes of oooooh's and aaaaaah's

[mKoenigify]

Sometimes you say that not all functions have inverse functions and sometimes you say that not all functions have inverses. Are there such things as inverse relations that are not functions? In other words, do we need to be careful when we say talk about this or does the term inverse imply a function? I'd appreciate your view on the subject if you cannot say for sure.

[SpearGio]

thanks a lot, man.

[Abdulmalik773]

wow

now i got it

thank you buddy

[Escuderofiel1]

Thanks! Very helpful

[lm9696productions]

wait, if you square, cube, whatever a negative number, it should come out positive... then why was the (-3)[3] NEGATIVE 27?

[patrickJMT]

@lm9696productions that is not correct at all

[iamvioletstar]

@lm9696productions (-3)(-3) is 9. then 9 times -3 is -27.



[702404352]

@lm9696productions because (-3)(-3)= 9(-3)= -27

[TheFalsePineapple]

@lm9696productions because its -3 x -3= positive 9

9 x -3= negative 27

a cube root multiplies is three time of that number. so a negative cube root would multiplie it 3 times would end up negative, not positive

[VITHfulVIKbrah]

@lm9696productions no. cubes can have negative roots and powers. go finish off year 1. why are you wasting your time here

[sksameer208]

Who is great?

:

Khan or patrick?



[patrickJMT]

@sksameer208 probably room on the internet for everyone

[ss4vegeta92]

@sksameer208 i prefer partrick

[arielhentai08]

You are great, I've got a 20% test this totally helped me out!!!

[ilovemysunshine09]

just slow it down a bit please otherwise you're great!



[patrickJMT]

@ilovemysunshine09 * sigh *

[poopyscoopy5]

@patrickJMT

lol

[BobVonBobbi]

@patrickJMT don't slow down, that would be painful.

[thecam4444]

@patrickJMT cant please everyone ;)

[RyanJoshSteve]

@ilovemysunshine09 I don't mean to sound rude but this is the problem I've had in the past with my professors and the fact that I can't pause them, whereas I can pause Patrick, this is helpful so I can catch up on what he's explaining, sooooo what I'm saying is there's this little button you can use to stop time it works great! lol

[boytuhab]

@ilovemysunshine09 dumbass, there is a replay button and pause button under the video use it!

[mechanicalpuffin]

@ilovemysunshine09 This might surprise you, but YouTube has a pause button.

[madogmgd]

@ilovemysunshine09 You know you could just pause the video and play at your leisure -.-

that's the benefit of having a N-eacher (Net+teacher)

[MrAznrhen]

subbed :)

[x3Heroiinex3]

you'r the most helpful person on youtube !

[patrickJMT]

@x3Heroiinex3 thanks : ) 

[jazzysax102391]

very good video

[MrAMorris7]

Thanks for this! :D I'm home-schooled and both my parents work. :/ you make my 'teacher-less' way easier! Thanks SO much.

[patrickJMT]

@MrAMorris7 happy to help : ) good luck in your solo studies!

[yumbubblegum1]

que viva patricio eeh. todo bien papi

[nanokd]

Patrick you make math seem fun! I love watching ur videos, they r extremely helpful.thank you 4 sharing your knowledge :)

[patrickJMT]

@nanokd glad you like my vids :  )

[Gazzawey]

Thnx slot great video

[Themedjai2]

this a great video thanks

[Ysaiaiai]

so f-1(x) = g(x)?

[MyMastewal1]

this video really helped me out, whoever made it makes me like math more. thank you man.

[patrickJMT]

@MyMastewal1 what do you mean, ' whoever made it ' - it clearly says i made it! : )

[narkatika]

i cant figure out the inverse of the function

d(t)=1/2*9.8t^2

could you please explain what you do? i tried following your videos, but i havent found which can help me in my case.

thanx for the videos too!

[patrickJMT]

@narkatika it does not have an inverse as it does not pass the horizontal line test (not 1 to 1)

[narkatika]

@patrickJMT really? cuz i came up with d-1(t)=SQRroot(2t/9.8), and that seems to work? is this not the inverse?

[patrickJMT]

@narkatika unless the domain was restricted in the original problem and you forgot to mention it, it is not 1-1 and has no inverse. i think this is one of the very first things i mention in the video. t^2 would be a parabola and hence fail the vertical line test.

[AryaSravaka]

Oh my god. I m currently revising for Differntial and integral analysis exam at uni 2nd yr...WOw never could understand the inverse functions using notes, only watched upto 1:30 and I got it.. Thanks patrick. Why the hell they have to use weird notation in analysis :), cant they use examples like this,thx again,got exam on monday

[TheBarneyrubble08]

I've had so many people try to teach me this concept but I never got it until I watched this video....one video did what so many people could not...the reason being is because you explained why, how, how to check, and why again.  Thanks so much for your help! You're a saint! (a mathematical saint)

[dealwitharun]

Thank You So Much Teacher. A salute to your service! :)

[kasneci09]

I love you... you made me get a B+ on my exam, i owe everything to you!!!!!!!!!!!

[niki471]

This was so clear - i found this confusing at school!

[milkeatscereal]

watsup with the mormon ads???

[azamdeen]

tnxzzz alot ...... iearnt a lot

[azamdeen]

tanxxxxxzzzzz alot.....SIR it wuz very usefullll



[DarkTiesandRibbons]

If you are not a math teacher, then you must become one. You MUST become one. It is your duty to share your amazing gift for teaching math to all the poor students with incompetent math books out there.

[gljma4ever]

Patrick, you are God-sent! Who teaches this great for free??!!!!!!!  God Bless!

[jackxzx]

i don't understand how the inverse functions are related to one to one functions?

do you have any video refering to this?\

thanks

[xTheImposter]

Great Video, helped a lot thanks

You explain brilliantly, but for some reason, as my mind was absorbing what you were saying, i couldnt help but keep noticing....youre left-handed..haha :)

[freehouse78]

excellent video.

[KayKay7600]

I thought you couldn't take the square root of a negative number? Nice video! I have a major exam tomorrow and this helps!

[repme]

@KayKay7600 if it's a square root, you can't. if it's a cube root, you can...basically, if the root is even, it's not possible. if it's odd, it is. why? Square root of -4 = 2i. cube root of -8 = 2. Why? there's no way you can multiply -2 by -2 or any two numbers the same to get a negative. however, you CAN multiply -2 by -2 by -2 and get -8. Just think backwards. Go back to the definitions of square roots and you'll see the logic. he's not sqrrooting. he's cube rooting :)

[mubeen316]

You're Awesome........

[asurix]

thx math god =)

[jw09aaj]

ur vids r great !!!! i love uuuuu mwahhhhh xxx ive got a test on this and before watchin ur videos i didnt really understand.

[Seattle206723]

Thanks man for the videos, i'm going to look to see now if you have graphing inverse functions.

[annyomg123]

OMG THANKS I HAVE A TEST @MORROW!! I was looking for your vids!

[crittinger]

i wondered how you wrote that g(x) function so well going the opposite direction, and then noticed you were left handed haha

[biraj619]

What about a C shaped graph (i.e one to many relation)?

would it still have an inverse function?

[007walk]

the way my teacher got us remember this is that a function only has one output, if it has more than one is called a mapping,

[Vorbis5]

You continue to open my mind in math. Very few teachers can achieve this. Kudos.

[patrickJMT]

@Vorbis5 i am flattered that you find my videos enlightening

[PrataManiac]

Hey ff-1(x) is the same as f(x) right?

[patrickJMT]

@PrataManiac no; f ( f -1(x)) = x

[DazedConfused989]

I wish this video had been up two days ago :(. I think I did ok though, so no hard feelings lol.

[patrickJMT]

@DazedConfused989 ha, thanks for not being mad at me.

[search4robfen]

Hi Pat, you do a very good job!



[patrickJMT]

@search4robfen thanks!

[LucyRockprincess]

wow i'm learning this tomarrow in class! yay i get to be ahead! ty

[baburo101]

Hey Pat, I think I'd great idea if you create a playlist of the math subjects.

thanks

[patrickJMT]

@baburo101 almost done with the calculus playlists, will get to algebra next