How to find the inverse of a rational function and verify it's inverse

[@lilavenpalette]

why are people talking over this dude? i would love to have a teacher like this :/

[@isabellelove13]

same

[@jaym6239]

ty. like how u teach and shut the students up at the same damn time

[@brianmclogan]

haha, just try to do my best

[@Henry-jq9hc]

Ty so much, last minute studying for test

[@brianmclogan]

hope you did well

[@raiansar]

same lol

[@brianmclogan]

I absolutely agree. Cancelling out is not a mathematical term nor should it be used when describing the process of a number being added to it's multiplicative inverse or multiplied by it's multiplicative inverse. I sometimes fall victim to using the term but always try to explain like you do during lecture. Thank you for noticing and writing to me about it because I agree with you

[@BiiKay675]

Sir this is all I needed to understand inverse function. As an English speaker, I'm studying maths in Chinese and you just saved my life. Your students are so lucky to have you. You're the best man!

[@chrunchyz1058]

I've been scratching my head for a whole day just by trying to understand my math homework, this video really helped me. Thanks good sir

[@datoland]

I am currently using webassign for my college algebra, and your explanation is 10x better than the random people that "try" to explain how to do these.

[@brianmclogan]

happy to be there for you

[@otb.ger28]

Man those students are super disrespectful for talking while hes teaching🙄 They should be grateful they have a teacher that actually teaches while some of us WISH our teacher actually taught well🤦🏻‍♀️ Great video btw thank you so much

[@manuellarios6989]

Smalls :D htl shorty

[@brianmclogan]

Thank you please feel free to ask any questions, I will try my best to answer

[@that_boi_gus2298]

My “y” has a 2 beside it how do I do this because right know I have 8x-6=2y

[@luzgarcialara1783]

Just wanted to thank you so much for this! currently doing college algebra and I can't tell you how difficult textbooks make it seem.

[@brianmclogan]

You are so welcome!

[@stevenzhang4258]

lol he missed the mustang news :c

[@brianmclogan]

Dang! haha

[@jennaalexander24]

What if the 5 was the numerator and x-1 was the denomenator. Would you multiply by (1/5) to get rid of the 5?

[@teaguestotlar4446]

Hi Bryan! What happens when for example, the x-1 is x-2? How would you go along multiplying both sides?

[@brianmclogan]

same process, multiply by x-2 on both sides

[@allyzajhayequejado3378]

Hello, how do you solve it if the denominator is 4x for instance? Like this: f(x)=x+1/4x.

[@charleschanda1368]

So what other methods can I use apart from canciling out the variables

[@brianmclogan]

no prob!

[@prakashghimire7158]

i didnt understand the F in F(f*-1(x)) =x

[@brianmclogan]

I know right? I goal is to create enough videos to supplement all the long boring instruction out there. It can just be killer here in math class.

[@goalkeeper2258]

I learned a lot because of the explanations I understood so well thank you so much sir Brian Mclogan

[@dinatolentino6173]

Very well explained

[@yllassally]

I'm taking an honors functions class and it's ridiculous. I'm going to watch your videos for help. Thanks!

[@faithsollearns7307]

I'm struggling to understand how 5 got cancelled out in "5x=y-1" just by adding 1, how does it work?

[@lykzjrmaf3509]

You just make it very simple.... Thanks a lot...

[@brianmclogan]

+Lykz jr Maf you are very welcome! happy to help

[@brianmclogan]

@DevPosley awesome, let me know how I can help you further!

[@brianmclogan]

please do and let me know what videos you would like to see that you don't see on my channel

[@romeobluepadres]

Thanks Mr. McLogan, the book was confusing!!! This helped

[@samantha2afterwuat778]

thank u so much sir my teacher went through it so fast and I’ve been stuck on this forever ❤️

[@jathea_samanthadecastro4844]

how / where do you get the +1 ?

[@zerkboy7097]

Distributive property ACROSS the equal sign, so 5x=y-1 becomes 5x+1=y

[@sheluvbingus]

Thank you this is helping on my math quiz tomorrow!!

[@brianmclogan]

you are very welcome James! Best of luck

[@charleschanda1368]

Thanks really helpful

[@AlphaT-ron]

Thank you! This is way more helpful than Zybooks!

[@valeriedholsclaw]

thank you so much! I was struggling to understand this and now I do

[@xxxMellowRebelxxx]

How do you work the problem with something like x-5 on the bottom?

[@darksea3154]

You flip both sides of the equation. I’m a little late, but I hope this helps.

[@brianmclogan]

haha yea, we are the mustangs over here as well

[@abrarlabib2787]

I hope you were my home tutor

[@nicholasmorales2063]

what if there is a variable in the denominator ex)(1/x)+4

[@lucasmcleod6386]

styll

[@CaptainAwesome2594]

Seems just like an overcomplicated way of doing more confusing algebra. Great teaching understood it more in 5 mins than 1 week at university.

[@brianmclogan]

cheers!

[@fannysalazar-dl5nn]

THANK U SO MUCH🫶🏻😭😭😭

[@g-riconoelyngabriela5475]

why did u transpose 5x without changing the sign?

[@zerkboy7097]

Because you were multiplying a positive number

[@Aurora-k2e]

9 years ago. and this mans almost has 1m subs. nice 👌🏻

[@diebel3]

I don't like when teachers use the term 'cancel out' it doesn't describe what you are doing. When I help a fellow student, I always explain to them how (eg) 10/2 equals 5. If I want to get 5 (or 10/2) to equal 10 again, I must multiply by 2. Therefore 'getting rid of' the 2 in the denominator of the fraction 10/2

[@christianslein8175]

why did u add 1? on the first sum

[@itsmoon4032]

Wish he was my teacher. He makes it soo much simple

[@brianmclogan]

happy to be able to help!

[@itsmoon4032]

Brian McLogan how would it be if their is a number in the x-1

[@brianmclogan]

what do you mean?

[@itsmoon4032]

Brian McLogan the beginning of the problem. When their is a number with the x.

[@ShaheerSIqbal]

you look really young in comparison to the newer vids, haah. Thanks man!

[@brianmclogan]

haha I was

[@DK-mp5xf]

what grade are u teaching in this vid?

[@elipercey8500]

Thanks man

[@sarachicanaa]

Thank you soooo much for these videos!! You are helping me tremendously. 😁

[@zoezh905]

Thank you for your share! It's very helpful for me!

[@brianmclogan]

you are very welcome!

[@elyssamancilla7942]

Thank you so much !!!

[@TheCstotko]

YES! We're working on this now. I was hoping you had a video up with this information! Brian Strikes Again!

[@simeond4114]

This was so helpful thanks so much

[@haru0443]

Thank you so much! ✨

[@brianmclogan]

Very welcome!

[@siphilipe]

Instead of multiply and divide (2:10) that generate questions from students, just do cross multiply and all confusions are kicked out of classroom.

[@brianmclogan]

Cross multiplication is only helpful when you understand why it works, I do teach it, but with caution till my students understand the inverse operations. Otherwise it is very often incorrectly applied

[@lisneybonne3232]

Whenever I don't understand my teacher I come here with him because I know that I'll understand him(my teacher is really good "nerd", but sometimes I cannot understand him) :)

[@hanster8610]

The intercom was so nostalgic aaaah

[@brianmclogan]

@ctwall18 i don't know what that means

[@HaiderAli-dl6fy]

Y did u add 1 for the equation 5x=y-1

[@brianmclogan]

to solve for y

[@avamiranda8505]

They really want you to turn on the TV LOL

[@gilnahnu]

thank you for this!!!! :D

[@SMOKEY428]

Thank you for this ! ! ! 🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻

[@brianmclogan]

You are very welcome!

[@ctwall18]

Is this bvn???

[@brianmclogan]

@mrchristophercelaya thank you!

[@brianmclogan]

no you will need to get the x off of the denominator

[@PickedClips0]

Y are u such a help

[@VERDANN]

what if f(x)=3-x/4?

[@DMPosley]

Thanks alot man I needed that help

[@brytw2535]

maybe i shouldnt say this but if i were in his class i'd have a fat crush on him

[@ሓንቲያእምነቱረዚንዩታሪኹ]

You are so amazing

[@immaculateboy]

I don’t understand why you switched the x and the y at the beginning

[@brianmclogan]

well if you look at the graph of a function and it's inverse you will see that all the point (x,y) of a functions are swapped (y,x) for the inverse graph

[@omranqashou414]

I use this to solve my homework 😂😂

[@brianmclogan]

happy to help

[@omranqashou414]

Thanks teacher 😙

[@Jayyeff48]

You're a beast thanks bruh

[@brianmclogan]

............

[@mahdikb9272]

can anybody help me with this one: f(x) = (x² - 1) / 2x I'm stuck at this point : y = -1 / (2x -y) thanks in advance

[@lanceromusic]

So therefore...

[@isabellelove13]

thank you for this video and omg I died when the girl said why lol

[@brianmclogan]

haha

[@ennelyennely2846]

I’m still a little lost.. :(

[@hduque8153]

👍

[@maddiechillington1728]

BE MY TEACHER PLSSSSSSS

[@brianmclogan]

I am just online!

[@starinsky2873]

Suscribed 👊

[@brianmclogan]

cheers! happy to have you William

[@henrylj2660]

legit

[@charlesbromberick4247]

no need for this lengthy video