How to Find the Domain of a Composite Function

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  • เผยแพร่เมื่อ 28 พ.ย. 2024

ความคิดเห็น • 54

  • @dawnrowland7491
    @dawnrowland7491 4 ปีที่แล้ว +102

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

    • @BrainGainzOfficial
      @BrainGainzOfficial  4 ปีที่แล้ว +64

      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.

  • @dawnrowland7491
    @dawnrowland7491 4 ปีที่แล้ว +17

    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!

  • @adilsadaqatkhan9036
    @adilsadaqatkhan9036 3 ปีที่แล้ว +1

    Bestest teacher ever!

  • @noorkheir9930
    @noorkheir9930 2 ปีที่แล้ว +2

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

  • @henryspradlin1042
    @henryspradlin1042 3 ปีที่แล้ว +17

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

  • @abdullaalbouchi
    @abdullaalbouchi 4 ปีที่แล้ว +6

    Best teacher ever

  • @artforiasbasketball8766
    @artforiasbasketball8766 3 ปีที่แล้ว +5

    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!

  • @sabitkhan2655
    @sabitkhan2655 2 ปีที่แล้ว +7

    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!

  • @AungSanTint
    @AungSanTint 6 หลายเดือนก่อน

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

  • @existentialist77
    @existentialist77 ปีที่แล้ว +1

    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!

  • @connerestesestes262
    @connerestesestes262 ปีที่แล้ว +1

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

  • @lisas4684
    @lisas4684 4 ปีที่แล้ว +6

    Really nice job emphasizing the key points!

  • @souravchakraborty6766
    @souravchakraborty6766 2 ปีที่แล้ว +4

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

  • @JumpyJoker18
    @JumpyJoker18 3 ปีที่แล้ว +3

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

  • @nikgshort3974
    @nikgshort3974 3 ปีที่แล้ว +2

    Awesome explained sir

  • @judykt5244
    @judykt5244 ปีที่แล้ว

    Thanks so much, very helpful 😄

  • @mamadetaslimtorabally7363
    @mamadetaslimtorabally7363 2 ปีที่แล้ว

    Makes a lot of sense to me. Thanks.

  • @gpn962
    @gpn962 ปีที่แล้ว +1

    Good video. Thanks.

  • @knowledgeispower6949
    @knowledgeispower6949 2 ปีที่แล้ว

    Thnaks great content with good explanation 👏

  • @shorttricks3153
    @shorttricks3153 2 หลายเดือนก่อน

    Thanks buddy ❤

  • @addisonholloway8015
    @addisonholloway8015 8 หลายเดือนก่อน

    great video thank you

  • @cameronzynel4162
    @cameronzynel4162 3 ปีที่แล้ว

    Very Helpful, thanks!

  • @lunganispider
    @lunganispider ปีที่แล้ว

    Thank you brother 🙏

  • @Xardas_
    @Xardas_ 2 ปีที่แล้ว

    Thank you so much

  • @themvlek
    @themvlek ปีที่แล้ว

    Thank you that was helpful

  • @amirazohairabdelaal9025
    @amirazohairabdelaal9025 2 ปีที่แล้ว

    Thank you great demo

  • @techflash6897
    @techflash6897 10 หลายเดือนก่อน +1

    Your god ❤

  • @jhghful
    @jhghful 2 ปีที่แล้ว

    Thanks it is so helpfull

  • @lauren1000
    @lauren1000 3 ปีที่แล้ว

    Thanks! Helped a lot.

  • @lumenlee2047
    @lumenlee2047 4 ปีที่แล้ว +4

    How do you tell if there are no domain restrictions?

    • @hopelessdigger
      @hopelessdigger 4 ปีที่แล้ว +2

      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).

  • @FloraNovax3
    @FloraNovax3 3 ปีที่แล้ว

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

  • @localasian
    @localasian 4 ปีที่แล้ว +1

    thank you

  • @lakshitamadhavan2902
    @lakshitamadhavan2902 3 ปีที่แล้ว

    Thank you!

  • @amrholo4445
    @amrholo4445 3 ปีที่แล้ว

    thanks a lot ♥

  • @learnmath4268
    @learnmath4268 4 ปีที่แล้ว

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

  • @alazarsileshi4112
    @alazarsileshi4112 3 ปีที่แล้ว

    Think for these

  • @monsterhunter6341
    @monsterhunter6341 3 ปีที่แล้ว +1

    why it's domain in the third example negative 1

    • @jaypawar9756
      @jaypawar9756 3 ปีที่แล้ว +1

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

  • @stealth3979
    @stealth3979 4 ปีที่แล้ว +2

    shoutout maty cox

  • @nooranal-fakhoury938
    @nooranal-fakhoury938 3 ปีที่แล้ว +1

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

  • @anavallejo1241
    @anavallejo1241 10 หลายเดือนก่อน

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

  • @meganwolfe7118
    @meganwolfe7118 3 ปีที่แล้ว +1

    you are a king marry me u rock

  • @simonvutov7575
    @simonvutov7575 2 หลายเดือนก่อน

    Thank you fking goat!!

  • @hwinter3347
    @hwinter3347 5 ปีที่แล้ว +1

    Second quedtion you forgot x is not equal -3

    • @BrainGainzOfficial
      @BrainGainzOfficial  5 ปีที่แล้ว +4

      -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
    @johnnycardarelli216 4 ปีที่แล้ว +3

    poggers

  • @sirikadenu5462
    @sirikadenu5462 3 ปีที่แล้ว +1

    i'm love with your tatto sir🙄🙄

  • @abdullaalbouchi
    @abdullaalbouchi 4 ปีที่แล้ว +2

    Next time try to make more steps

  • @dopestghost144
    @dopestghost144 3 ปีที่แล้ว

    stop!