Composite Functions Domain Fractions & Square Roots / Radicals - Inverse Functions & Graphs

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This algebra 2 and precalculus video tutorial provides an introduction basic overview / review on composite functions that contain fractions and radicals such as square root functions. It explains how to find the domain of a composition of functions and how to express it using interval notation and a number line. It also shows you how to determine if two functions are inverses of each other.
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 ...
_____________________________________
Increasing and Decreasing Functions:
• Increasing and Decreas...
Relative Maximum & Minimum Values:
• Identifying The Relati...
Domain and Range From a Graph:
• Domain and Range of a ...
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...
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:
/ collections

Опубликовано:

6 сен 2016

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Комментарии : 273

@TheOrganicChemistryTutor 6 месяцев назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Functions and Graphs: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-ZTEv8OnGaxo.html Transformations of Functions: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-tyQLp6x-GoU.html Graphing Polynomial Functions: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-rOOefdqMvtA.html

@john-danielmunoz3469 5 лет назад

Who else owes at least 1/4 of their degree to this guy?

@thundageon5962 4 года назад

He doesn't need a degree he's already a genius

@thabisomatsena6195 4 года назад

More than a quarter🙌

@dinaabdulnaser5475 3 года назад

if not all

@rblcloud7590 3 года назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-i4YjMBDI55c.html for advanced concept

@rblcloud7590 3 года назад

@@dinaabdulnaser5475 ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-i4YjMBDI55c.html for more advanced concept

@siyabongasibanyoni 2 года назад

in Highschool I used to watch his videos and instantly understand what the topic is about. Now I'm in university and still watching. This guy deserves an award.

@alixd1540 Год назад

DAM IT FACTS

@thatomofolo452 Год назад

facts

@1Arequita 5 лет назад

I don’t even read the book anymore, I just come to you for the lessons. Your voice is perfect plus the way you explain is superior.

@xxgamergirlxx7917 5 лет назад

I really prefer learning math this way,at home in peace I feel like being in class,at an uncomftorable space is tiring..And the fact that your prof only explains once is pressuring..Like this I can sit and watch and replay till I understand at peace! Ive been trying to learn these composite functions and finally I get it! Thank you

@davidcaro827 4 года назад

@@FFF034 seeing this at 9th lol

@WGAGENCY 4 года назад

@@davidcaro827 that's what college is like bro. You'll learn what you forgot all over again. Just like the math section is stuff you learned in middle school

@WanoToba 4 года назад

well now we could all learn math this way lmao

@rblcloud7590 3 года назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-i4YjMBDI55c.html for advanced concept

@caaizre 3 года назад

Me: *Reads this comment during COVID* Also Me: “ They would’ve loved THIS then.....”

@brian76541 5 лет назад

This account is better than Khan Academy

@eshaghazali2482 4 года назад

Bryan Maclean agreed

@lake9980 4 года назад

by far!!!

@glamourclub 4 года назад

AGREE!!!!

@LuminalNexus 3 года назад

Both are good in their own way, but yes this is god level status

@mollyo7514 3 года назад

The only channel where I don’t skip the ads. You deserve the money😭🤎

@Ushq_QgA 2 года назад

😢

@j.h.m4474 2 года назад

😂😂.... I'm enjoying the ads too

@missartis9002 Год назад

Absolutely!!!!!🥰

@TaniaPalassi 3 года назад

You’re probably the only reason why i’ll graduate

@aimoniquey 3 года назад

Fr better at explaining than my teacher

@OverwatchHubChannel 7 лет назад

I've learned so much from you than from our prof at our school. I wish you were my math teacher. I'm trying to advanced study this because I'm sure it won't be explained as detailed as you do by my prof.

@rblcloud7590 3 года назад

For more advanced concept

@rblpublicschoolbisalpur8096 3 года назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-i4YjMBDI55c.html

@yourmother3207 4 года назад

Seriously I am so thankful for this. My professor is good, it's just that I can only see her lecture once yknow. This is so helpful. Thank you and god bless.

@omegawoomy4356 3 года назад

Dude thank you so much! My professor made such a simple concept so much more confusing by making us memorize a paragraph to write down to find the answer, when she could have just told us about the number line and simple plug-in numbers. Thank you once again

@mechboy5954 7 лет назад

It's always easy when you explain it

@user-ms9qi5bo5n 9 месяцев назад

I can bet my life that he's the RU-vid Tutor. This man seems to be a genius, he is so much versatile in almost all careers. You are the MOSES to many us. Thank youuu very very very much sir 😅😅😅

@ilose21 5 лет назад

You are a gentleman and a scholar sir, thank you for your work

@dggamer022 Год назад

I think its a huge hint when there are videos included with my online lessons, but I cam here because I was stuck. You explain it better than my actual online instructor.

@OscarGonzalez-zp5od 2 года назад

thanks, man I'm taking a course online and the videos in the course are terrible I wouldn't be able to pass this course without your help thank you! YOUR GREAT!

@keonlogan2373 4 года назад

man you explained this incredibly well I was so stuck !!!!

@blenbehailu7039 3 года назад

like man i am so grateful to you right now like thank you thank you soo much i have an exam tommorow and i owe it to you big time, keep it up mr, i really appreciate

@vfxentity Год назад

i literally came to this channel for 3 weeks worth of math classes i had no idea about props to this man

@nicholasachuz8329 2 года назад

You are definitely one of the greatest tutors in the whole world,hope you can get all your flowers while you still alive

@rajendramisir3530 5 лет назад

Two great ways to prove that two single variable functions are inverses of each other by checking to see if their composition equals x. Would the inverse of the inverse function of a function result in the original function. Consider: The anti-derivative of the derivative of a function gives back the original function. You inspire and motivate me, through your videos, to continue studying Maths. Thanks JG.

@aniiraqigawad6693 5 месяцев назад

true because theoretically f^-1(x) = g(x) and vice versa if they are inverses.

@chocoberry434 Год назад

your channel is everyhting! i can easily understand your explanation! thank youu

@Alex-nw2rv 6 лет назад

by far you are the best i have seen explain these math problems... thanks for explaining the "why" so we can understand it

@allanbandaie5690 6 лет назад

True

@1Arequita 5 лет назад

Alex yes, the “why” if teachers would do that it would be much easier to comprehend and move forward with purpose.

@kadraabdulkader9059 3 года назад

Really thank you soo much . U really saved my life so many times plzzz continue making videos 💕💕

@user-ms9qi5bo5n 9 месяцев назад

@mauricecolon4359 7 лет назад

This Tutorial was pretty solid

@lyannamormont298 5 лет назад

straight up

@Ravikumar-wy2dj 4 года назад

I’ve learnt a lot from a guy whom I’ve never seen till now :o

@dong2255 3 года назад

I can't help but applauding every time I watch the video.

@reynaldofranqui1910 6 лет назад

You are the Man!! This video was great. Thanks

@abeehaturi650 Год назад

Lots of love and respect from Pakistan. I am lucky that I discovered your channel.🥰

@theinfernaltoast1810 5 лет назад

Thank you so much you helped a lot. Also you sound like a young mark Wahlberg.

@zahrahabibiba5827 3 года назад

You are the best, may God bless you dear🙏😊

@MasterChiefCovenant 4 года назад

thank you for all your helpful videos

@fundamentalsofphysicsnmath4306 2 года назад

Thanks for such a nice explanation. Love you from India....

@TseboMatlakala-ue2hf Год назад

You are a very good teacher my man

@masterkatkiller7328 3 года назад

This guy is the best hands down.

@janicejames2499 3 года назад

These math session are so informative

@laribawuni6772 2 года назад

your videos give a better understanding

@kainatmalik1752 3 года назад

your vdios are very helpful for me thanks sir for your simple and easy methods

@bongiwendlovu850 3 года назад

thank you, this helped so much !

@sama-nz3gc Год назад

this man is a life-saver

@gelilaredwan8494 2 года назад

your good at explanation I really don't know how to understand math with out you

@zohirakholiqova6085 Год назад

Thanks very much for explanation . I learn +infinity algebric thinks. 😍😍💕💪

@otienoronnieodhiambo4125 3 года назад

you have work out good examples thanks.May look this sums g(h(4.7)), fo(hog)(x)

@chirathnanayakkara3448 2 года назад

For the first time, I really understood something

@yaoivelasquez806 4 года назад

You really helped me. Thanks

@rob651 3 года назад

It is good to learn something ....Thank you.

@baslealdereje5369 2 года назад

thank u my teacher.... Much love

@aimalmomand3831 Год назад

Thanks you are doing a great job ❤

@kinantube9791 2 года назад

MAN FR THX THX THX TOMORROW MY MIDTERM AND U SAVED ME

@Nemoguzapomnit 6 лет назад

Thx for that video. Btw I've checked the function (at 19:00) in Desmos and there's a point (-1, 0).

@ridwan6695 2 года назад

yea i think he made a mistake. 3/((4/0) -2) is like 3/4/0 which is like (0*3)/4 then you get the answer to be 0 and not undefined

@MyDeathSecret 2 года назад

i have ap calc quiz on this tmr thank!

@brandongreenlaw534 2 года назад

Thank you so much you are amazing you help me out so much

@RadenVickelDwiko 3 года назад

God,Thanks for Created this Channel ~! I Helped,a lot

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Our external lecturer We are proud

@khawla25khadija99 3 года назад

Woow you're thé n'est teacher ever

@mosesamewoxa8285 3 года назад

Very sample and easy to understand

@sarmotiv8509 5 лет назад

Great job!

@fraggelrock9974 6 лет назад

This was helpful

@alyaziaalmazrouei9520 5 лет назад

thanks for explaining you always make it easy!!!

@Sanjukuri-fr3we 4 года назад

Compotion

@karlatoledo2069 2 года назад

If I become a dentist I give credit to GOD and The Organic chem tutor 💕 I have been doing math ,chemistry with his videos and I’m killing it!

@hazelparojinog6639 3 года назад

This is very helpful for my son😊

@shayikahmad3772 3 года назад

Sir thank you very much for sessions

@carlamariedelcarmen5944 7 лет назад

I LOVE YOUR VOICE!

@lilmoetuff805 6 лет назад

It is because he sounds like Mark Walberg. ;)

@Alex-nw2rv 6 лет назад

yes he is very calming.... takes the stress away from math lol

@allanbandaie5690 6 лет назад

The guy has a soft fondle voice

@SkillUpMobileGaming 5 лет назад

*HIS VOICE GIVES ME ANXIETY*

@lyannamormont298 5 лет назад

Loooool

@natu.d9546 Год назад

To prove that two single variables are inverses of each other by checking if their composition equals one?!? My math teacher never mentioned that part but since you did it really helped me prepare for my math exam thank you!!

@IMathTutorial 3 года назад

Thank you..

@sifrashworkneh6395 3 года назад

Thanxs a lot It helps me

@jheromeurbano9686 5 лет назад

Great tutorials.. more than my math teachers. lol

@yoshech 2 года назад

Thanks so much!

@macleaninemai3162 2 года назад

precise explanation

@RoseMarieMullins 3 года назад

9:58 Why is it necessary to test each section of the numberline (b/c there are two critical numbers) for this example, but for the following two examples you don't test the sections of the numberline (even though they also have two critical numbers)?

@stevenpulsford9622 2 года назад

For the 50th time, THANK YOU.

@londekalungile213 6 лет назад

U rock thank u

@user-tp4mj8rl2f 3 месяца назад

❤❤جزاك الله خيرا

@Jane31180 9 месяцев назад

You deserve an award

@deborahfouche9151 9 месяцев назад

Great Job explaining

@jessicamartinez9528 5 месяцев назад

great video thank you so much

@thatomofolo452 Год назад

Thanks Mr J🤝🤝💯

@nastarashiid7924 5 лет назад

❤ love you and your brain

@mahamsyed1102 6 лет назад

Amazing

@auditirahman3857 Год назад

the organic chemistry tutor teaching us maths💁‍♀️

@mattb8480 5 лет назад

For the question with x+3 in the denominator, shouldn't you use cases to see if x+3 as a whole is greater or less than 0? Because if x+3 as a whole was negative, you would have to flip the inequality sign.

@razak2373 5 лет назад

Yes, He should use it. Thats why we got x>-3

@stephankubicki2473 4 года назад

Correct, which gives -3 ≤ x ≤ -(5/2), and then applying the additional restriction x ≠ -3 gives the correct domain (-3, -2.5] and this methods avoids all the clunky subbing in and checking.

@baze3541 2 года назад

Yess i was also confused by this because we got a resolt of x

@elizabethv2595 2 года назад

Thanks!

@nurnur490 Год назад

Thank you 😊😊😊😊

@komredkweyu2036 4 года назад

Thank you sir

@graphixcorner1709 4 года назад

thank you

@CABDIKANICAWILIZMAACIIL 2 месяца назад

Well done 👏

@balqiskamal458 3 года назад

I survive my college life with this

@doyoarero5599 3 года назад

Addict to your video sir😂😂

@gabgab1512 3 года назад

I hate how most teachers go out of their way to explain something in the most extravagant and complicated way when the people in the RU-vid videos should be the ones teaching and not the other teachers

@serinacat4781 4 года назад

Have watched many of your videos, haha

@nochuu.u Год назад

watching this because I understand him more than my math teacher.

@pichirisu 2 года назад

It's insane how missing one part of something mixed with having shaky math foundation and make you sit there and try everything, but what's also insane is learning all of the mistakes you can make by trying everything possible without doing what you're actually supposed to do so you can help others later and recognize mistakes they could be making which are the same or similar to the ones you learned along the way.

@sabreen1171 Год назад

you described my exact situation. I have a very shaky math foundation and sometimes don't understand small parts of an eqn which leave me feeling so behind

@maqadid_sumaiia 2 года назад

Thank uuuu✨✨

@makaylasingh5877 4 года назад

Am I dumb or something? Why am I the only one confused?😔 I'm just finna fail my end of terms😭

@amo2070 3 года назад

bro same

@alyrific 3 года назад

yooo same tf 💀

@calebwheeler3118 3 года назад

i understood 0% of this

@luisclementeortegasegovia8603 3 года назад

@Its Complicated Your problem is that you don't have a solid mathematical base, that's why you don't understand whats going on. Get back to the basics first!