How to find domain and range of a rational equation using inverse

  Рет қаралды 1,137,633

Brian McLogan

Brian McLogan

Күн бұрын

Пікірлер: 326
@chrismartin7560
@chrismartin7560 7 жыл бұрын
isn't it supposed to be, for the range, a positive 2? If you do the same idea to the denominator once you are looking for range, it would be x = 2. If not, why would x -2 still be x = -2 for the range? :"""{
@jeremypersaud129
@jeremypersaud129 7 жыл бұрын
Chris Martin that's what I said its positive 2 he had to made a mistake it wouldn't make sense for it to be -2
@brianmclogan
@brianmclogan 7 жыл бұрын
that is correct, I made a mistake, comment is pinned so others can see
@maica9351
@maica9351 7 жыл бұрын
I was about to ask the same thing lol but good thing they pinned this :))
@muhammadkhan1626
@muhammadkhan1626 7 жыл бұрын
you can correct in the video? some ppl do it with like a note or something like this
@JG-yy7pd
@JG-yy7pd 6 жыл бұрын
Yeah wtf
@Junowild
@Junowild 7 жыл бұрын
You made more sense in the first two minutes than my PreCal teacher has all year
@brianmclogan
@brianmclogan 7 жыл бұрын
Well happy to do that for you
@francheskafarr4841
@francheskafarr4841 6 жыл бұрын
I wish you are my professor in diffirential calculus
@moofin4170
@moofin4170 4 жыл бұрын
Agreed 100%, my hs teacher garbles about other stuff while explaining math
@zanman9103
@zanman9103 2 жыл бұрын
agreed
@zeeandkegaming9827
@zeeandkegaming9827 Жыл бұрын
Facts bro same
@vanessadsouza4987
@vanessadsouza4987 6 жыл бұрын
Thank You So much! Our teachers at school just solve the questions and expect us to understand and when we ask questions, they make fun of us. So this was really helpful, thank you
@brianmclogan
@brianmclogan 6 жыл бұрын
sorry to hear about that Vanessa, but happy to be there for you
@KSUBSCRIBERINYEARCHALLENGE
@KSUBSCRIBERINYEARCHALLENGE 4 жыл бұрын
Yea homie our teacher always did dat to me too
@Jamieforeals
@Jamieforeals 4 жыл бұрын
After 10 years I through myself into a algebra 2 class and I feel like quitting. Too late to drop the class. This is the only channel keeping me alive in this class 👏🏻👏🏻👏🏻when I’m lost I come here 💯
@igris663
@igris663 4 жыл бұрын
his vids always make us feel like we are sit-in students 😆
@aldahirrodriguezsotelo3244
@aldahirrodriguezsotelo3244 2 жыл бұрын
I have forgotten this and now have to work with it again and this video put the biggest smile on my face all week!
@TheZmoliver
@TheZmoliver Жыл бұрын
Thank you! This is the best example I've seen and I have spent days trying to figure this out. It's like, everyone else seems to be able to skip the 'math' of it in broken down steps. Also, no one else has shown how to flip the variable and solve for the inverse function to find the range. The crazy part is, this is like chapter 1 in a lot of algebra books! And I can do the rest of the book just fine but domain and range of algebraic functions has always been my achilles heel. Hopefully, not anymore. And I know it's important because I want to get into some calculus soon and that whole subject seems like it's basically full of functions. Thank you again. You're my favorite math tutor on youtube because of your process and just the way you communicate idea. A lot of math teachers aren't always the best with words.
@brianmclogan
@brianmclogan Жыл бұрын
So happy to help
@nabeelmalik.4714
@nabeelmalik.4714 5 жыл бұрын
Range is (-○○, +2,) U (+2,○○)
@sangbryan6028
@sangbryan6028 5 жыл бұрын
Thank you,for a second I thought something was wrong with me
@thepotatoofheaven
@thepotatoofheaven 4 жыл бұрын
I know it's a late reply but ye I was gonna comment that
@opaltutorials3015
@opaltutorials3015 8 ай бұрын
Yeah this is right
@philquinz7034
@philquinz7034 4 жыл бұрын
Fastest way of finding the range: Since the degree of both numerator and denominator is the same, just divide the leading coefficient of the numerator which is 2 by the leading coefficient of the denominator which is 1 that will result to 2. Therefore range=(-○○,2)u(2,○○).
@mariasoniaabe4107
@mariasoniaabe4107 3 жыл бұрын
What if the x-4 is x+4, will it be (○○,4)(4○○)‽
@meranaomathmadeeasy6203
@meranaomathmadeeasy6203 2 жыл бұрын
Yep!!! One thing people seem to be forgetting is, you can just use your horizontal asymptote to find the range 😹
@meranaomathmadeeasy6203
@meranaomathmadeeasy6203 2 жыл бұрын
@Harris Park really? please enlighten me about this, cause I've tried lots of rational functions and they seem to be working well... Not sure about rational functions with holes tho
@Au_Hussar
@Au_Hussar 5 жыл бұрын
I really wish I had you as a teacher many years ago Brian, I'm at university and the tutor/lectures may as well be speaking a different language, you make math make sense.
@Defectivebraincell
@Defectivebraincell 3 жыл бұрын
this man needs to hit 1 million subscribers
@RealAstroWhale
@RealAstroWhale 5 жыл бұрын
Thanks sir, this helped, got stumped in finding the range, but now I know
@user-bj7jt2gl8s
@user-bj7jt2gl8s 2 жыл бұрын
He who teaches math properly, I hope you're going to have great year, and if you don't, I hope you have the strength to withstand any problem.
@jasonnwokeji4107
@jasonnwokeji4107 4 жыл бұрын
Please do not stop posting videos, you explain it far better than my textbooks
@prastabghimire1270
@prastabghimire1270 4 жыл бұрын
I was in deep trouble and frusted with my life then I just saw your video and it helped and brought me hope . Thank you so much
@Fyknite
@Fyknite 8 жыл бұрын
Always a great help. Thank you for making these videos
@brianmclogan
@brianmclogan 8 жыл бұрын
happy to help!
@aliviasandridge5280
@aliviasandridge5280 3 ай бұрын
You are helping me through my college course! Thank you.
@seanjamesongalvin9244
@seanjamesongalvin9244 4 жыл бұрын
Thank you so much, this has been such a big help, especially during quarantine :)
@d4yz44
@d4yz44 3 жыл бұрын
I love you😭you literally teach me what my algebra 2 teacher should be
@georgesadler7830
@georgesadler7830 2 жыл бұрын
Professor McLogan, thank you for an excellent video/lecture on Finding Domain and Range of a Rational Function.
@brianmclogan
@brianmclogan 2 жыл бұрын
You are very welcome!!
@abnshanag
@abnshanag 6 жыл бұрын
I'm from Saudi Arabia this time is first time I watch your videos big thanks for the things you offer, thanks doctor
@brianmclogan
@brianmclogan 6 жыл бұрын
you are very welcome, I am no doctor, just a friendly guy happy to help you out!
@3110-l6n
@3110-l6n 3 жыл бұрын
Your way of teaching is brilliant, Kudos to you
@janahaddad3877
@janahaddad3877 5 жыл бұрын
thank you so much!! i literally never understood domain and range, in under 7 minutes it all clicked
@eamonkinney
@eamonkinney 4 жыл бұрын
Why he sound gay for a split second
@LifeonWheels
@LifeonWheels 4 жыл бұрын
I should send you my tuition check...... I've learned more from you than my pre-cal professor....
@ajd06-b4d
@ajd06-b4d Жыл бұрын
you're the greatest human being alive tysm man
@sraboneakter7469
@sraboneakter7469 6 жыл бұрын
Actually you are the best teacher in mathematics.
@brianmclogan
@brianmclogan 6 жыл бұрын
just happy to help
@isatabah9898
@isatabah9898 Жыл бұрын
Thanks sir this video was really helpful.As I have never got the chance to understand math this kind of a way.
@Chichichichia
@Chichichichia 6 жыл бұрын
I don't know what I would do without you
@karldebes
@karldebes Жыл бұрын
I am so thankful to have found this video, many of my previous teachers would take much longer to explain this process and I really appreciate your help. You are very good at explaining things in a sensical way!
@vedanthyellai5755
@vedanthyellai5755 2 жыл бұрын
HE IS A LIFESAVER
@kirkdammett9013
@kirkdammett9013 5 жыл бұрын
Thank you so much man. Ive been struggling with the range for quite a while till your video popped up. Real life-saver
@jcn268
@jcn268 Жыл бұрын
Thank you so much, you're the first video that makes sense ,other tutorials avoid doing fractions and do easy equations instead which I find pointless but you explained this very well
@muhammadfathanhidayat9639
@muhammadfathanhidayat9639 4 жыл бұрын
Thank You Mr. Brian
@KennethAsiedu-wc3dp
@KennethAsiedu-wc3dp 4 ай бұрын
This is very helpful
@toogoodtobetrue.87
@toogoodtobetrue.87 4 жыл бұрын
thank you so much it helped me in my calculus exam
@divinaragay233
@divinaragay233 2 жыл бұрын
thanks a lot Mr. Brian Mclogan
@Glorvox
@Glorvox 4 жыл бұрын
You're such a great teacher. Thank you for sharing your knowledge with us
@justinkim__7
@justinkim__7 4 жыл бұрын
2:11 His voice change tho... Anyways thanks for the video! Why can’t my math teacher teach like this??
@rowenaravenclaw8474
@rowenaravenclaw8474 5 жыл бұрын
Thank you so much! I haven’t done math in a while and am about to take a Calculus class next semester, so this refresher is very helpful!
@jaimontillana7661
@jaimontillana7661 3 жыл бұрын
TKANKS! I'm a freshman, now i know how to find the Range
@cipps__
@cipps__ 4 жыл бұрын
I declared you as my new math professor😀
@ethanhawks9348
@ethanhawks9348 4 жыл бұрын
Thank you for teaching me through all of high school and Duel Enrollment Precal
@val98m68
@val98m68 5 жыл бұрын
you are THE BOSS! I was struggling with this for like three days, saw your video and now i understand!
@_codycameron
@_codycameron 5 жыл бұрын
I have an algebra 1 EOC tomorrow and I super nervous, hopefully I do good
@haid4x
@haid4x 5 жыл бұрын
Did you do good? I hope you did
@amanuelbiruk3666
@amanuelbiruk3666 2 жыл бұрын
that was very helpful. thank you
@sandysandilerh1061
@sandysandilerh1061 7 ай бұрын
Thank you so much I wasn't able to determin the range on a fraction equation. But now im better thank you... I hope youre still doing these videos im going to subscribe now on the channel ❤
@henokmekonen1006
@henokmekonen1006 2 жыл бұрын
good job teacher respect👏
@brianmclogan
@brianmclogan 2 жыл бұрын
Thank you!!
@_indielily_
@_indielily_ 2 жыл бұрын
this makes so much sense
@pronobeshchatterjee687
@pronobeshchatterjee687 Жыл бұрын
Thank you Professor 😊
@brianmclogan
@brianmclogan Жыл бұрын
You are very welcome!!
@1966lavc
@1966lavc 2 жыл бұрын
Exclude the HA to find the range. To find HA , find the limit of the function when x goes to infinity.
@ruthyves392
@ruthyves392 4 жыл бұрын
Thanks so much😊😊😊😊
@samanthaecotothermia7896
@samanthaecotothermia7896 5 жыл бұрын
These videos are so helpful. Thank you!
@ezeifedigbofrank4021
@ezeifedigbofrank4021 9 ай бұрын
The range, according to what you taught, is meant to be R = (-∞ , 2) ∪ (2 , ∞)
@jadas3485
@jadas3485 5 жыл бұрын
I'm in BC calculus and I had to remind myself how to do this😂😂 thanks!!
@sophiesmith7116
@sophiesmith7116 5 жыл бұрын
I'm in college calculus and I had to remind myself how to do this ahaha
@Catholic_BB
@Catholic_BB Жыл бұрын
Thank you so much! this helped me heaps! :)
@heroic723
@heroic723 3 жыл бұрын
Thank you, sir! 💛
@danielkim4151
@danielkim4151 4 жыл бұрын
You explained it really well!!
@theoSKD
@theoSKD 6 жыл бұрын
This was great :)) Thanks for sharing!
@brianmclogan
@brianmclogan 6 жыл бұрын
Happy to help
@solomonkimba
@solomonkimba Жыл бұрын
Thanks I was thinking the same.
@keiraemata9892
@keiraemata9892 4 жыл бұрын
Yey thank you sir! Finally i got the correct answer for my homework.
@alvb4601
@alvb4601 5 жыл бұрын
سبحان الله وبحمده سبحان الله العظيم 🌼🌷🌼🌷🌼🌷🌼🌷🌼🌷🌼🌷🌼 اللهم اني اسألك الهدى، والتقى، والعفاف، والغنى، والمغفرة من كل ذنب. 🦋🌹🦋🌹🦋🌹🦋🌹🦋🌹🦋🌹🦋 اللهم اني اسألك النجاح والتوفيق ⚘
@dareal2669
@dareal2669 5 жыл бұрын
اللهم امين
@asagbajoseph4889
@asagbajoseph4889 11 ай бұрын
Nice One sir!!
@ET2driftys6
@ET2driftys6 3 жыл бұрын
im taking algebra 1and got a test in 30 min this is very helpful
@rohangautam1134
@rohangautam1134 5 жыл бұрын
Very nice explanation sir. 😊
@hazelmazo2801
@hazelmazo2801 3 жыл бұрын
You're so helpful 😉
@آلاءأحمد-غ9م
@آلاءأحمد-غ9م 4 жыл бұрын
Thanks a lot ! I suffered a lot because of this lesson
@saisai-lq8dt
@saisai-lq8dt 6 жыл бұрын
thanks really helpful
@brianmclogan
@brianmclogan 6 жыл бұрын
you are very welcome!
@marychellebarimbad8282
@marychellebarimbad8282 4 жыл бұрын
Thank you very much
@urunclesam1659
@urunclesam1659 4 жыл бұрын
Nice thanks 👌
@spektriye
@spektriye 2 жыл бұрын
I learned several times how to find the inverse but never once learned that that was how you find the range... thank you lmao
@sarbeshsankar6370
@sarbeshsankar6370 5 жыл бұрын
this man is a god
@wafaaloqman1711
@wafaaloqman1711 6 жыл бұрын
thanks sir u r very smart teacher (:
@brianmclogan
@brianmclogan 6 жыл бұрын
just a lot of practice
@razasyed575
@razasyed575 5 жыл бұрын
we love you brian
@easternielmeakoro377
@easternielmeakoro377 3 жыл бұрын
Cool stuff...Learned a lot from yah
@meranaomathmadeeasy6203
@meranaomathmadeeasy6203 2 жыл бұрын
the best and fastest way to find the range is to use the concept of horizontal asymptote. Let the degree of numerator = P and the degree of the denominator = Q then a) if P>Q, then there's no horizontal asymptote. b) if P=Q, then divide their coefficients c) if P
@msladymack1960
@msladymack1960 Жыл бұрын
So...if it does not work everytime, then you probably shouldn't post this comment. Here is the problem: What if someone doesn't know about the "holes"?😢
@milkyasmarkos3283
@milkyasmarkos3283 2 жыл бұрын
Thank you
@aciercraft7039
@aciercraft7039 4 жыл бұрын
Thank you so much!!!!
@JunryBacalso
@JunryBacalso 2 жыл бұрын
Thanks
@heathermiller5413
@heathermiller5413 7 жыл бұрын
Thank You!!
@brianmclogan
@brianmclogan 7 жыл бұрын
you are very welcome!
@yurii6721
@yurii6721 4 жыл бұрын
is the short cut for finding the range is the same as finding the horizontal asymptote?
@yassmineizo9438
@yassmineizo9438 4 жыл бұрын
You are the best
@dinglemingle2546
@dinglemingle2546 3 жыл бұрын
i’m a sub now
@Hyp12246
@Hyp12246 5 жыл бұрын
Sir you are awesome
@tristanalano6959
@tristanalano6959 6 жыл бұрын
Is a rational equation and a rational function the same? can i use that formula to find the range of a rational function?
@brianmclogan
@brianmclogan 6 жыл бұрын
yes
@tristanalano6959
@tristanalano6959 6 жыл бұрын
Brian McLogan thanks sir
@brianmclogan
@brianmclogan 6 жыл бұрын
😀
@itzMinh
@itzMinh 7 жыл бұрын
man the moment you got the camera i totally got lost. i need to see people do it and learn.
@brianmclogan
@brianmclogan 7 жыл бұрын
do you have a question I can answer?
@awaissaleem2767
@awaissaleem2767 4 жыл бұрын
@@brianmclogan plz send me material of Improved (G'/G) expansion method. Me doing research on this method
@marealeighhh8313
@marealeighhh8313 5 жыл бұрын
but what about if the given denominator is trinomial? how will you solve for the range?
@NelsonKalap-db3xi
@NelsonKalap-db3xi 3 ай бұрын
Sir I think it should be positive 2 instead of negative 2. Can you clarify on that.
@KSUBSCRIBERINYEARCHALLENGE
@KSUBSCRIBERINYEARCHALLENGE 4 жыл бұрын
After I saw dis video I got good score n mah teacher banned me cuz I got de score he never expected from me tnx homie I only wanted knowledge
@Angela-ct8wr
@Angela-ct8wr 6 ай бұрын
me as a teacher, eating all my markers in front of the class
@dinglemingle2546
@dinglemingle2546 3 жыл бұрын
thanks a lot
@kidindigo9826
@kidindigo9826 5 жыл бұрын
Thank you❤
@jefftheninja8293
@jefftheninja8293 6 жыл бұрын
How do you find the range if the numerator and denminator are both quadratic equation?
@brianmclogan
@brianmclogan 6 жыл бұрын
domain is simple just find when the denominator is equal to zero, as far as range a calculator would be preferred to graph
@jefftheninja8293
@jefftheninja8293 6 жыл бұрын
But our teacher wouldn't let us use a calculator :( I tried using your method but it got more complicated than I thought btw Thanks for the reply :)
@brianmclogan
@brianmclogan 6 жыл бұрын
hmm, well that is more advanced than what I teach so when you swap variables look for algebraic techniques such as completing the square or dividing that can help you isolate the y. There might be an easier way but I am not sure of the right methods without spending time looking it up as I do not recall
@jackallgeyer8524
@jackallgeyer8524 7 жыл бұрын
This helped so much thank you!!
@brianmclogan
@brianmclogan 7 жыл бұрын
you are very welcome! happy to be able to assist you
@satheeshkpillai713
@satheeshkpillai713 2 жыл бұрын
Thanks alot sir🫡🫡
@brianmclogan
@brianmclogan 2 жыл бұрын
You are very welcome!!
@AileenPunzalan-q4i
@AileenPunzalan-q4i 4 ай бұрын
sir may i just give my comment you did the process for inverse which is solving for the new y but to find the range solve for x..
@minekidninja8130
@minekidninja8130 Жыл бұрын
If you do the square root of this rational function, how do you find the range using the inverse? f(x)=sqrt((2x-1)/(x+4))
@Mohammad-ou4pd
@Mohammad-ou4pd 2 жыл бұрын
im gonna quit the uni and watch your videos boss :D :D :D :D :D
@niceone2037
@niceone2037 7 жыл бұрын
Thank you 😊 .......
@brianmclogan
@brianmclogan 7 жыл бұрын
you are very welcome!
@deborahafotey4859
@deborahafotey4859 5 жыл бұрын
Quick question does that mean that the domain of my inverse function is my original functions range?
@samanthawong8105
@samanthawong8105 4 жыл бұрын
yep
@KA-xw3th
@KA-xw3th 3 жыл бұрын
Please does this method of calculating the range work for all rational functions? How do I find the range of (3x-8)/x squared-9x+20? Thanks for the video
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