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

[@chrismartin7560]

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]

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]

that is correct, I made a mistake, comment is pinned so others can see

[@maica9351]

I was about to ask the same thing lol but good thing they pinned this :))

[@muhammadkhan1626]

you can correct in the video? some ppl do it with like a note or something like this

[@JG-yy7pd]

Yeah wtf

[@Junowild]

You made more sense in the first two minutes than my PreCal teacher has all year

[@brianmclogan]

Well happy to do that for you

[@francheskafarr4841]

I wish you are my professor in diffirential calculus

[@moofin4170]

Agreed 100%, my hs teacher garbles about other stuff while explaining math

[@zanman9103]

agreed

[@zeeandkegaming9827]

Facts bro same

[@vanessadsouza4987]

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]

sorry to hear about that Vanessa, but happy to be there for you

[@KSUBSCRIBERINYEARCHALLENGE]

Yea homie our teacher always did dat to me too

[@Jamieforeals]

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 💯

[@TheZmoliver]

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]

So happy to help

[@igris663]

his vids always make us feel like we are sit-in students 😆

[@philquinz7034]

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]

What if the x-4 is x+4, will it be (○○,4)(4○○)‽

[@meranaomathmadeeasy6203]

Yep!!! One thing people seem to be forgetting is, you can just use your horizontal asymptote to find the range 😹

[@meranaomathmadeeasy6203]

@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]

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.

[@prastabghimire1270]

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

[@RealAstroWhale]

Thanks sir, this helped, got stumped in finding the range, but now I know

[@nabeelmalik.4714]

Range is (-○○, +2,) U (+2,○○)

[@sangbryan6028]

Thank you,for a second I thought something was wrong with me

[@thepotatoofheaven]

I know it's a late reply but ye I was gonna comment that

[@opaltutorials3015]

Yeah this is right

[@aldahirrodriguezsotelo3244]

I have forgotten this and now have to work with it again and this video put the biggest smile on my face all week!

[@seanjamesongalvin9244]

Thank you so much, this has been such a big help, especially during quarantine :)

[@janahaddad3877]

thank you so much!! i literally never understood domain and range, in under 7 minutes it all clicked

[@eamonkinney]

Why he sound gay for a split second

[@jasonnwokeji4107]

Please do not stop posting videos, you explain it far better than my textbooks

[@Defectivebraincell]

this man needs to hit 1 million subscribers

[@LifeonWheels]

I should send you my tuition check...... I've learned more from you than my pre-cal professor....

[@aliviasandridge5280]

You are helping me through my college course! Thank you.

[@Fyknite]

Always a great help. Thank you for making these videos

[@brianmclogan]

happy to help!

[@karldebes]

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!

[@georgesadler7830]

Professor McLogan, thank you for an excellent video/lecture on Finding Domain and Range of a Rational Function.

[@brianmclogan]

You are very welcome!!

[@d4yz44]

I love you😭you literally teach me what my algebra 2 teacher should be

[@kirkdammett9013]

Thank you so much man. Ive been struggling with the range for quite a while till your video popped up. Real life-saver

[@user-bj7jt2gl8s]

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.

[@ajd06-b4d]

you're the greatest human being alive tysm man

[@abnshanag]

I'm from Saudi Arabia this time is first time I watch your videos big thanks for the things you offer, thanks doctor

[@brianmclogan]

you are very welcome, I am no doctor, just a friendly guy happy to help you out!

[@Chichichichia]

I don't know what I would do without you

[@3110-l6n]

Your way of teaching is brilliant, Kudos to you

[@sraboneakter7469]

Actually you are the best teacher in mathematics.

[@brianmclogan]

just happy to help

[@sandysandilerh1061]

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 ❤

[@val98m68]

you are THE BOSS! I was struggling with this for like three days, saw your video and now i understand!

[@justinkim__7]

2:11 His voice change tho... Anyways thanks for the video! Why can’t my math teacher teach like this??

[@Glorvox]

You're such a great teacher. Thank you for sharing your knowledge with us

[@isatabah9898]

Thanks sir this video was really helpful.As I have never got the chance to understand math this kind of a way.

[@cipps__]

I declared you as my new math professor😀

[@jaimontillana7661]

TKANKS! I'm a freshman, now i know how to find the Range

[@jcn268]

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

[@vedanthyellai5755]

HE IS A LIFESAVER

[@rowenaravenclaw8474]

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!

[@toogoodtobetrue.87]

thank you so much it helped me in my calculus exam

[@divinaragay233]

thanks a lot Mr. Brian Mclogan

[@muhammadfathanhidayat9639]

Thank You Mr. Brian

[@ethanhawks9348]

Thank you for teaching me through all of high school and Duel Enrollment Precal

[@KennethAsiedu-wc3dp]

This is very helpful

[@_codycameron]

I have an algebra 1 EOC tomorrow and I super nervous, hopefully I do good

[@haid4x]

Did you do good? I hope you did

[@amanuelbiruk3666]

that was very helpful. thank you

[@jadas3485]

I'm in BC calculus and I had to remind myself how to do this😂😂 thanks!!

[@sophiesmith7116]

I'm in college calculus and I had to remind myself how to do this ahaha

[@samanthaecotothermia7896]

These videos are so helpful. Thank you!

[@theoSKD]

This was great :)) Thanks for sharing!

[@brianmclogan]

Happy to help

[@pronobeshchatterjee687]

Thank you Professor 😊

[@brianmclogan]

You are very welcome!!

[@_indielily_]

this makes so much sense

[@henokmekonen1006]

good job teacher respect👏

[@brianmclogan]

Thank you!!

[@danielkim4151]

You explained it really well!!

[@ET2driftys6]

im taking algebra 1and got a test in 30 min this is very helpful

[@ezeifedigbofrank4021]

The range, according to what you taught, is meant to be R = (-∞ , 2) ∪ (2 , ∞)

[@آلاءأحمد-غ9م]

Thanks a lot ! I suffered a lot because of this lesson

[@keiraemata9892]

Yey thank you sir! Finally i got the correct answer for my homework.

[@Catholic_BB]

Thank you so much! this helped me heaps! :)

[@heroic723]

Thank you, sir! 💛

[@spektriye]

I learned several times how to find the inverse but never once learned that that was how you find the range... thank you lmao

[@rohangautam1134]

Very nice explanation sir. 😊

[@1966lavc]

Exclude the HA to find the range. To find HA , find the limit of the function when x goes to infinity.

[@solomonkimba]

Thanks I was thinking the same.

[@ruthyves392]

Thanks so much😊😊😊😊

[@Angela-ct8wr]

me as a teacher, eating all my markers in front of the class

[@sarbeshsankar6370]

this man is a god

[@razasyed575]

we love you brian

[@KSUBSCRIBERINYEARCHALLENGE]

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

[@hazelmazo2801]

You're so helpful 😉

[@saisai-lq8dt]

thanks really helpful

[@brianmclogan]

you are very welcome!

[@asagbajoseph4889]

Nice One sir!!

[@wafaaloqman1711]

thanks sir u r very smart teacher (:

[@brianmclogan]

just a lot of practice

[@marealeighhh8313]

but what about if the given denominator is trinomial? how will you solve for the range?

[@alvb4601]

سبحان الله وبحمده سبحان الله العظيم 🌼🌷🌼🌷🌼🌷🌼🌷🌼🌷🌼🌷🌼 اللهم اني اسألك الهدى، والتقى، والعفاف، والغنى، والمغفرة من كل ذنب. 🦋🌹🦋🌹🦋🌹🦋🌹🦋🌹🦋🌹🦋 اللهم اني اسألك النجاح والتوفيق ⚘

[@dareal2669]

اللهم امين

[@easternielmeakoro377]

Cool stuff...Learned a lot from yah

[@itzMinh]

man the moment you got the camera i totally got lost. i need to see people do it and learn.

[@brianmclogan]

do you have a question I can answer?

[@awaissaleem2767]

@@brianmclogan plz send me material of Improved (G'/G) expansion method. Me doing research on this method

[@marychellebarimbad8282]

Thank you very much

[@dinglemingle2546]

i’m a sub now

[@yurii6721]

is the short cut for finding the range is the same as finding the horizontal asymptote?

[@deborahafotey4859]

Quick question does that mean that the domain of my inverse function is my original functions range?

[@samanthawong8105]

yep

[@Mohammad-ou4pd]

im gonna quit the uni and watch your videos boss :D :D :D :D :D

[@urunclesam1659]

Nice thanks 👌

[@jackallgeyer8524]

This helped so much thank you!!

[@brianmclogan]

you are very welcome! happy to be able to assist you

[@jefftheninja8293]

How do you find the range if the numerator and denminator are both quadratic equation?

[@brianmclogan]

domain is simple just find when the denominator is equal to zero, as far as range a calculator would be preferred to graph

[@jefftheninja8293]

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]

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

[@Ian-ty6zh]

how did you get the -2y in line 4 in range

[@tristanalano6959]

Is a rational equation and a rational function the same? can i use that formula to find the range of a rational function?

[@brianmclogan]

yes

[@tristanalano6959]

Brian McLogan thanks sir

[@brianmclogan]

😀

[@yassmineizo9438]

You are the best

[@aciercraft7039]

Thank you so much!!!!

[@thedummyaccount]

I have a question. What if the numeratr has a squared value (x^2) and also has an x on the denominator?

[@lovlee8645]

Go to khan academy, they have this example you're welcome :)

[@NelsonKalap-db3xi]

Sir I think it should be positive 2 instead of negative 2. Can you clarify on that.

[@heathermiller5413]

Thank You!!

[@brianmclogan]

you are very welcome!

[@danielosmena9747]

Is there a general rule for finding the range of rational functions?

[@L490sr]

does this method works with any function?? because it is really easy

[@brianmclogan]

rational function yes, but there are variations, such as more complex examples

[@L490sr]

too bad:/ I tried it on a root function and didn't work. Well professor, can you tell me how to calculate the range?

[@meranaomathmadeeasy6203]

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]

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"?😢

[@AileenPunzalan-q4i]

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..

[@satheeshkpillai713]

Thanks alot sir🫡🫡

[@brianmclogan]

You are very welcome!!

[@Hyp12246]

Sir you are awesome

[@KA-xw3th]

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

[@jerardandreiabad2929]

I have a question though, what if your numerator is quadratic, how will you eliminate the spare y variable?

[@khiranrasaily1841]

At 5:19 he almost picks his noes with the sharpie look!