How to Find the Domain of a Composite Function

Many students struggle with finding the domain of a composition function. I hope this video helps!
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Thanks for watching! Comment below with any questions / feedback and make sure to like / subscribe if you enjoyed!

[@dawnrowland7491]

I think there is an error in the domain...I think it is supposed to be [1, infinity) and not the negative one.

[@BrainGainzOfficial]

If you're talking about 7:45 , then yes you are correct! It looks like I wrote it correctly using set building notation, then wrote it incorrectly using interval notation. Thanks for catching that! I'll pin this so other people can see.

[@henryspradlin1042]

The phrase "every number has to go through the inner function" was gold

[@dawnrowland7491]

Thanks for putting out all of your math videos. They are the best! My son has been struggling with his college algebra class from day one because the videos made by his teacher don't explain very well. She just does a bunch of practice problems. I like that you explain your thinking AND that you do it in a logical linear way. Thanks again!

[@artforiasbasketball8766]

Absolutely smashed it m8! It is UNIMAGINABLE how effective your technique of teaching is! Idk if its the calm voice or mad lad looks! Working through multiple examples really helps out, and I recommend going through more examples in the future, covering all those tricky errors which students tend to make!

[@AungSanTint]

The explanation is clear and straightforward to understand. Thank you so much ! 😊

[@lisas4684]

Really nice job emphasizing the key points!

[@connerestesestes262]

This was a great way of explaining it I’ve been trying to understand it but I do now thank you

[@existentialist77]

hello tatooed bro, thanks for your super clear explanation, after watching so many videos, yours has the clearest explanation! i wonder why in the world other teachers would not simplify the steps like you did. it's very simple like what you've written, take note of the inner function and the result function, and note the restrictions of those 2. that's it and yet those other teachers failed to mention that! maybe they wanted to make their students life hell, and project a terror professor image. had they explained it like you did from the start, it would have been a breeze for me! took me an hour to figure it out!

[@noorkheir9930]

THANK YOU SO MUCH i spent sm days and watched sm videos and this is the only one that actually got me through it

[@JumpyJoker18]

Your math videos are great. I hope you start uploading again soon.

[@abdullaalbouchi]

Best teacher ever

[@lauren1000]

Thanks! Helped a lot.

[@adilsadaqatkhan9036]

Bestest teacher ever!

[@cameronzynel4162]

Very Helpful, thanks!

[@mamadetaslimtorabally7363]

Makes a lot of sense to me. Thanks.

[@nikgshort3974]

Awesome explained sir

[@souravchakraborty6766]

Hi,
Would the domain in interval notation for the very last question be (-- infinity , 3/2) U (3/2 , 2 ) U (2 , +infinity)

[@sabitkhan2655]

at 7:58 , I guess Inside interval notation, there's an unnoticed error. The Df will be [1, infinity) . Not [-1, infinity)
anyway, I've seen a lot other videos about this topic. Nobody is as clear as u are. Absolutely wonderful job, U've done!

[@amirazohairabdelaal9025]

Thank you great demo

[@knowledgeispower6949]

Thnaks great content with good explanation 👏

[@judykt5244]

Thanks so much, very helpful 😄

[@gpn962]

Good video. Thanks.

[@addisonholloway8015]

great video thank you

[@themvlek]

Thank you that was helpful

[@lakshitamadhavan2902]

Thank you!

[@jhghful]

Thanks it is so helpfull

[@lunganispider]

Thank you brother 🙏

[@localasian]

thank you

[@Xardas_]

Thank you so much

[@amrholo4445]

thanks a lot ♥

[@learnmath4268]

Can we take intersection of fog(X) and g(X) domain

[@FloraNovax3]

Now how would you do this in a calculator? ( like a Ti-84)

[@lumenlee2047]

How do you tell if there are no domain restrictions?

[@hopelessdigger]

I can see you are a 9th grader(maybe), anyway, its so easy, you just have to look for roots and divisions, if x is not in a denominator or is not under a root, then 99% of the cases there are no domain restrictions (some cases are more complicated than that).

[@alazarsileshi4112]

Think for these

[@nooranal-fakhoury938]

i understand thanks man but again i ask why the hell do we take this?

[@techflash6897]

Your god ❤

[@stealth3979]

shoutout maty cox

[@monsterhunter6341]

why it's domain in the third example negative 1

[@jaypawar9756]

I think that's mistake. It should be [1,∞) because of g(x) has restriction of x >= 1

[@meganwolfe7118]

you are a king marry me u rock

[@anavallejo1241]

I still, find it confusing to identify the domain of the inner function

[@hwinter3347]

Second quedtion you forgot x is not equal -3

[@BrainGainzOfficial]

-3 is not in the domain of f(x), but it is in the domain of f(g(x)). To test it out you can evaluate f(g(-3)) and you will get -2/7.

[@johnnycardarelli216]

poggers

[@dominicolohan4820]

wisdom

[@sirikadenu5462]

i'm love with your tatto sir🙄🙄

[@dopestghost144]

stop!

[@dannykv1234567]

no

[@abdullaalbouchi]

Next time try to make more steps