❖ Composition of Functions ❖

[@allansplace]

Thank you! Very good instruction. You're patient and seem to know what issues the student will face and what mistakes they'll probably make.

[@patrickjmt]

+Allan Johnston thanks! happy i could help! as a student who struggled and as a person who taught a bunch and tutored even more, i hope to be able to share some of the common mistakes and common questions i encountered

[@JackMeoff46]

patrickJMT you struggled with math?

[@juchipila323]

oh my god. u made it so simple. my teacher just confused me. she made me hate math. u brought that love again. thank you

[@Spewrillious]

same, my teacher couldn't explain it well and the whole class was lost. My brain felt so fried trying to make sense of it XD

[@citlallicontreras1879]

Me too, I understood the first part, but then he just got some weird examples and my brain was hurting! I could not understand a thing xD but glad i found this video.

[@chadzelda1]

Dude, thank you so much, you did what my professor couldn't do in only eight minutes....and she had an hour in a half to explain this concept.

[@OfTheFalls]

I am studying for my Algebra II finals and I just wanted to let you know how much I appreciate your videos. Thank you very much for taking the time to explain these confusing things to us!

[@OniiChanPls]

I'm Asian and I learn from you. YOU ARE A GENIUS AMONG GENIUSES.

[@sheveshka]

Not only are you concise, clear, and helpful, but you're left-handed as well! I love you.

[@bktad5545]

This is so cool that people still come to this vid for help. It shows how great and clear your explanations are. Great work!

[@patrickjmt]

thanks! :)

[@omaralmadani4580]

I don't know if you are gonna read this but man .. YOU ARE THE BEST!! You just made everything clear to me.

[@djaia]

OMG, this is soo easy. Thank you! I was trying to read the explanation in my book and just about died! Thanks to you I'm going to have such an easy time on my final test! Thanks again!

[@kevinopolis26]

My teacher never taught us this but he gave us homework, so long story short you saved me.

[@Winkxgirl25]

You'll be the reason why the world has more scientist and doctors. You're really making a difference. I'm a huge fan! Thanks. :)

[@HoldTheMayo904]

I commend you for helping people out!!! Not many people in the world thats willing to use their time to help other. Hats off to you!!!

[@MorganMcKinney]

You seriously just SAVED me! My professor just did examples on the board and did not explain it at all. So, thank you! Now it is crystal clear.

[@sh3llieyaj]

Idc how much he's getting paid now, but KZbin, please pay this man even more!! Thank you Patrick! You really just saved my life.

[@aeonbollig666]

Right now I'm taking a college algebra class with online lectures, and the lecturer doesn't even speak fluent english! You're a lifesaver.

[@xmostwanted7x]

You make life so much easier, I can't thank you enough. I was struggling with math, Trig/Alg2, and watching your videos when I would come home helped me 10x more than reading books/textbooks/guidebooks. Thank you.

[@shannerbaby1]

I have failed my maths for social sciences course once and with your help I have just understood the whole past exam. Thank you so much I am confident that I will pass this time around. You are the best

[@gravyhouse]

@patrickJMT I think it's because many math teachers aren't able to give much attention to sepearte students who may be struggling. Tutors are awesome because they're there to help you learn and go at your pace of understanding. It's much harder to do that in a math class with 10-20 ppl in it. So I speak for all the people you've helped when I say THANK YOU SO MUCH

[@anuragrawat3795]

I never knew that a lefty like me can have such a relaxing handwriting

[@WirlynMayRamos]

Lmaoo same.

[@k.r.1031]

I've been searching for hours, literally HOURS for an example that didn't have a number a representing (x). I appreciate the tutorial.

[@bestsattips5245]

Go to my channel! You'll see many function problems and tips for the SAT if applying to college!

[@patrickjmt]

at least, that is true for most people. if you want a career in science / engineering / anything math related ( careers that pay well) then yes, you need this stuff.

[@Bmichigan7]

i can now say that I didn't waste my life on youtube. Thanks so much, your a life saver!

[@yankees4life612]

You are literally a life saver. Anytime i come to one of your videos i always leave knowing exactly what i came to learn. Thank you so much.

[@ShiningFive]

thank you so much. My teacher is very nice, but he talks too quickly for me to understand properly, so your videos really help. I'm having a test on this stuff in a couple of days, and you made my life so much easier. Really, thank you!

[@KavaNought]

Thankfully, Maths is a universal language and your videos are a serious help to me. Simple and to the the point, just like my favourite tutor!

[@Oats0407]

when i graduate my BSc, ive got patricjmt to thank...your videos are really helpful to people like me who never really understood maths..

[@polkadotstripez]

I really don't understand what my lecturer is teaching like 90% of the time. Because of you, I totally understand the whole concept and am quite confident in scoring for my upcoming test! Thanks alot! Love from Singapore! ^^

[@happytrails699]

You are amazing. I use your videos to help tutor my high school son who sometimes needs some help. I have a minor in math but have forgotten a lot over the years. I wish all math teachers could teach like you do.

[@veronicachic]

yaaaaay you are AWESOME! I have a russian teacher and can't understand a word she says so youtube helps me so much.

[@Bisshco]

DUDE I LOVE YOU

[@Verifigh]

I'm in college, and I'll admit, I have a great math 110 teacher. But this helped more than anything I've learned in class. You explain things so good, and I think it's also the fact that I get to watch the work be done right in front of me on the screen. So great tutorial.

[@tashabear16]

Thank you so much! I was having trouble with Composition of Functions really bad but after watching your video, I'm so much better at it! Thanks so much!

[@dmorkcn]

I find your explanation very clear and concise. You are very good at explaining this. I looked until I found your video on youtube. YOU are by far the best. Bravo!

[@patrickjmt]

excellent : ) glad that you appreciate all of my camera work too! : )

[@cookiezxoxo]

my school just invest in a class called "patrickJMT"..this is 1000000 times better than my math class!!

[@patrickjmt]

yes, there actually is some worthwhile stuff on youtube! and if utube is garbage... so is tv! most all of it is only for 'entertainment' and after all... who wants to ever have any enjoyment in life : ) sometimes u need to see a video that helps u learn, sometimes u need to see a video that makes u laugh!

[@patrickjmt]

@Sarrahthenarrator glad you like my videos : )

[@DJAnthonyillWill]

I just started a Business Calculus class and needed a refresher on composite functions. Thanks for the great videos.

[@agbastrong]

i rarely comment of videos, but i just gotta tell you how much better my grades are because of these tutorials. Thank you!

[@docmeap7008]

You are doing gods work my friend.

[@forge4119]

thanks! I've had a few people try to explain this to me and you made it clear, clear, CLEAR!!

[@Museecoco]

wow! that's perfect even for me that I don't speak english perfectly :) You're a very very good teacher ! Thanks for your help ^^

[@morgantyler3163]

Oh my goodness this is so helpful! The example of f(3) really helped. Thanks so much!! I have a test tomorrow I've been dreading.

[@jjing2425]

Studying before exam. Now I know.. Better than my teacher.. Thank you!

[@dianadai1411]

You make it so easy to understand when textbook aint helping me at all. HELLO AND THANK U FROM SINGAPORE! :)

[@kattski]

I am taking an online algebra class and in my final week thinking I am going to blow my GPA. It is all greek to me until this video! While I am not fluent, I feel this video is the equivalent to a pocket translation dictionary and I will survive---THANK you!!!!!

[@death23000]

i still dont understand when you will need to use this.....

[@moldycorndog772]

so you can pass school...

[@death23000]

moldycorndog772 when else ?

[@YemensHeart93]

when will we ever use graphs of sine and cosine! lol

[@winnie_ijay]

***** so my kid will use it when?

[@doublebassrox]

"Because all forms of higher thinking come from the neural connections built by solving the kinds of problems that math provides. Learning it isn't about how you criminal justice/ psychology majors use it at your terrible jobs. It's about becoming a worthwhile person."

[@goofguy316]

why cant there be more teachers like you? the world would probably be much smarter....Keep it up Patrick!

[@DaLyricalMuse]

Thank you so much! I was almost to tears cramming for my final tomorrow and you helped me

[@godswarrior412]

you are the most amazing person in the entire world. and i love left-handed guys. you rock!

[@ItsProIONiX]

missed like 3 weeks of school and i missed all of this. you helped SO MUCH.

[@naruto243]

you need to come be my math teacher!!!!! you make things so simple and easy to understand!!!!! im gonna be using ure videos for the rest of high school

[@kimmiegolden3444]

You did amazing. Thank you for writing out all of the steps because that is how I personally work.

[@chibiladychoi]

Why do I easily understand math problems on youtube? Why can't I understand our lessons in math inside the classroom? Dude, keep up the good work. Nice job. :)

[@Daiseehead]

In less than 8 minutes, you taught me what took my teacher 1 hour to try to teach us. Thank you! I feel more confident taking my test tomorrow :)

[@elianarocha2637]

How did It go?

[@pinklip]

I think i just found my savior. Thank you soooo much. haha i have more confidence that since you exist i will pass my math class! YES! Just when i was feeling like all hope was lost!

[@bitzomby]

Oh. my. god. You are brilliant. My teacher explains things to terribly. You, sir, have helped me out ALOT. Thank you. :)

[@gilmoregirl0306]

you totally saved my butt. i'm doing an independent study course for precalc so i have no teacher and the textbook is absolutely terrible. you are a godsend!

[@mellev1995]

you sir are the reason i passed grade 10 and (hopefully) grade 11 math. bless you and your math teaching abilities

[@dianaingato3067]

Wow!Thanks a lot...I happen to be a slow learner..your patience made me understand this ...I re watched 3 times to perfect it..hoping to tackle my exam this Friday well..

[@patrickjmt]

@Susan128p u r very welcome!

[@fibertoys]

Wow this is alot easier to understand then what the garbage my teacher was giving me, ill be tuning in more now for sure!

[@patrickjmt]

@suenge it means replace all x's in g(x) with ( x + f(x)) , whatever f(x) is

[@TheFufuBerry]

Dude you rock, people like you are the reason the world goes around haha

[@PulseIndustries]

Way better than my teacher described it. I might be able to turn my failing math grade around because of you! I've been stuck on this all weekend but I think I have it now.

[@patrickjmt]

plug 1 into g to get 5, plug 5 into f to get 5^2 or 25

[@madhu2246]

your explaination is far more better than my lecturer thank you so much :)

[@ZombieChilla]

Thank you so incredibly much for taking your time to teach students complicated things like this. I think I can speak for everyone here when I say really means a LOT :)

[@patrickjmt]

@Itsmyfaceonthescreen happy that i could help you : )

[@patrickjmt]

@MTAL4ever yep, but they do not have to be. if they are equal, the functions are inverses of each other

[@brijanaay]

I'm watching this at 5:46 am .. a few hours before my ACT lol. Thank you :)

[@patrickjmt]

good luck! :)

[@mykinfair]

patrickJMT that's tight you're still replying to a video that's over 8 years old. Lol. But you were able to explain this better than my teacher. So I thank you.

[@lannielam1889]

Brianna Johnson ra1

[@whichgurl1134]

Brianna Johnson my maths exam today im dying

[@shortsbyjim]

thanks for taking the time to make this its still helping people almost a decade later

[@patrickjmt]

happy to help. that is the good thing about math: it doesn't change!

[@iamlisanobles]

OMG, I was so stuck until I found your video. It made it easier because of the color coordination I think whatever the case was, I completed all of my questions and got them correct in a manner of minutes versus days prior to finding your video. THANK YOU. Keep up the great work

[@begatbegat7273]

You're amazing! You explain things so much better and simpler than anyone on youtube and my teacher!

[@EdenBlade17]

Thanks for your videos man, as a ninth grader taking Algebra 2 my teacher goes a bit fast, so it's helpful getting some nice explanation outside of the classroom.

[@SuperAlaskanwolf]

you are a realy good teacher. coz of you i jumpd from an F to a C, you rock man! thanx

[@Ballerzpro]

u should be proud of yourself for sacrificing ur time to help others in maths... ^ ^ THX!

[@arsevela33]

OMG SO MUCH BETTER THAN MY TEACHER... got a test 2morrw and this is really helpfull.. :)

[@patrickjmt]

i have noooooooooooooooo clue what are on the uk exams. : ) however, compositions of functions is fairly basic algebra stuff though (and used often), so most high school graduates would be expected to know it i would think! i would be surprised if you ever met a math teacher who said it is not important to know about it...

[@harshalchaudharyk]

best thing about your videos, you stay connected with all your viewers and reply to a bunch of comments. Respect brother ps. (the math part is the best)

[@melodiecuevas9131]

Finally I get math, I have a feeling that when I retake my test I'll get a better score! :D thank you so much!!!!

[@patrickjmt]

@TheBscit i have videos on this somewhere i think

[@romulus2225]

Good Video. I just found your other videos and I've been watching all of them. You're doing a really good job man, I bet you're helping a lot of people.

[@natalie9978]

THANK YOU FOR MAKING THIS YOU ARE 10x MORE HELPFUL THAN MY MATH TEXTBOOK

[@KhangDo94]

I watch your video to ace calculus in highschool. Now that i'm in college i'm still watching your video LOL :) Thanks Bro!

[@The_SIGMA_MUSLIM]

Hi Sir Patrick, I'm Youssef from Morocco, and I rarely leave comments on youtube, I'm good in maths ( I mean really good ), but I forgot the composition of functions, and I was looking in videos in arabic searching for it , i didn't find it lol, maybe because it so easy. So thank you so much for sharing this video. +1

[@pdeleon102004]

:) I love you =)) My math teacher showed us this video a few months ago and, well, now that I lost my math notebook this totally helped me =)) thanks man!

[@00bbygirl]

wow i have been struggling in my algebra 2 class but after i saw this video man i have been doing really good now thank you a lot

[@Frazful]

Thanks friend, wouldn't get it by myself. Was hammering my head but wasn't understanding until I found this video

[@droduner]

Thank you so much. I am dying in this class after 10+ years away from higher math. This was a great explanation.

[@synamint]

Thank you so much!!! I totally get composition of functions now!!! You did an amazing job of explaining them!

[@21family.86]

im studying this 10yrs after you did ..crazy right..just wanted to know hows life been for you pal

[@AbbsGlosh8]

omg..your life saver...seriously..my math teacher should explain it like that.

[@hassanmarafie9883]

you can teach something in 7 mins my teacher could not teach in 45 mins ! thanks man

[@dakzomo]

thanks sooo much!! i have a test tomorrow and i had no idea how to do this stuff, great explenation. thanks!

[@WhodieModaFuka]

I have to finish this online program and you just saved me from summer school

[@Oringoz]

Srsly each time i need help in math i check your channel ty

[@xsaaaammyyx]

CANNOT THANK YOU ENOUGH YOURE A LIFE SAVER

[@patrickjmt]

no problem, glad i could help :) good luck in your class!

[@JellynCrackers]

Ha ha ha....(5:27) "everywhere there's an x I have to plug in all of this mess". Love that you can relate to the students. You've been most helpfull!! Only wish you were right handed...but no biggie! You're super cool for clearing things up for me. Thanx a billion!!

[@ninjapie117]

Missed two of my Math 120 class and this helped very mucho! Thank you sir!