Finding the inverse of a rational function
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- เผยแพร่เมื่อ 9 ก.ย. 2024
- 👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is made the argument (input) of a function, the result is x.
Given a function, say f(x), to find the inverse of the function, we first change f(x) to y. Next, we change all x to y and y to x. and then we solve for y. The obtained solution for y is the inverse of the original function.
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Organized Videos:
✅ Find the Inverse of a Function
• Find the Inverse of a ...
✅ Find the Inverse of a Function | Linear
• Find the Inverse of a ...
✅ Find the Inverse of a Function | Rational
• Find the Inverse of a ...
✅ Find the Inverse of a Function | Cubic
• Find the Inverse of a ...
✅ Find the Inverse of a Function | Quadratic
• Find the Inverse of a ...
✅ Find the Inverse of a Function | Cube Root
• Find the Inverse of a ...
✅ Find the Inverse of a Function | Square Root
• Find the Inverse of a ...
✅ Find the Inverse of a Function | Table
• Find the Inverse of a ...
✅ Find the Inverse of a Function | Graph
• Find the Inverse of a ...
✅ How to Prove Two Functions are Inverses
• How to Prove Two Funct...
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This guy is incredible...He has helped me with trig and calculus multiple times...He is a better teacher than my own!!
Jonathan Yoe thank you very much, very happy to be able to help
same . my calc prof skips a shit load of steps bc he expects us to know.
Facts
Same here too
We have to learn this in 8th grade. It sucks
lets go get it, let me know what else I can do to help you out!
I was wondering if f:x is the same as f(x) and if yes dies it require the same steps as shown in the video?
happy to help, keep up the hard work!
The perfect teacher
YOMOMOMAMA : )
Omg thank you so much. I had to find the inverse of f(x) = 3x/(x-4) in pre-calc, and I really couldn't figure it out. This made a lot of sense. Very clear instructions, love it.
+Zachary Mitchell awesome! I am posting new videos and organizing them in playlists this year for Pre-Calc. Feel free to watch as you please PC Unit 1 is the first playlist I have created so far
I'll have to keep that in mind once we get into heavier stuff. Unfortunately we're still on review, currently on inverses, domain, and range which is something I did a lot of last year. However I didn't have much experience with rational functions, so I was tripped up on how to find its inverse. My teacher said I can just skip it and we'll learn about it later, but math is my passion so I wanted to know anyway, plus knowing how will make it easier once we properly do rational functions, so win-win.
+Zachary Mitchell That is absolutely correct! Let me know if I can be of any assistance for the rest of the year?
@@brianmclogan ur a legend this helps a lot
did you find it or steal didn't? .-. (the result is f-1(x)=4x/x-3)
3 years later im really thanking you again for this great work may God bless you
11 years Later, this is still more than useful... Incredible job, thank you very much 😍✨
You are very welcome
I have literally been trying to figure out how to solve a math problem similar to this for two days now. This has been the ONLY video that has helped me figure it out and not made it stressful and confusing. Thank you SO MUCH!
You saved my grade thank you!
Inverse functions rationally was so frustrating but now I understand and I hope it gets easier in the near future
i’m literally a freshman in college in precalc because im a complete dumbass in math and youre literally the only person that actually explains everything well omg
Damn I didn’t know being in precalc freshman year is considered being a dumbass, isn’t that where almost everyone starts ?
@@nadermunye4879 yes 😂
So helpful, you're easy to follow and I found exactly what I was looking for. Thanks a lot!
you are very welcome!
I have my mathematics exam this coming Monday and the syllabus is way too much. I really needed help in finding the inverse of a function and your video helped me a lot! Thank you so much ❤️
omg this made functions so much easier now. Thanks!
+Rishabh Jain you are very welcome! happy to be able to help!
watching all of this guys videos a day before a test loooooool
No one was showing complicated examples of inverse rational functions thank you!
This is so helpful very good teaching almost every algebra teacher I’ve had in high school was lazy and didn’t fully teach a concept which leaves blanks in my knowledge.
Omg allow me to shake your hand master, I needed this for one of the questions in my Cal quiz
this video was 11 years ago and is still helping today wow THANK UUUUU
You just helped my Daughter who is an online student (Senior Year)!! We love you & thank *GOD* for you!!
You are such a great teacher! Your students are so lucky
Funny how this man just saved my life almost 10 years after posting this lol
Changing it from xy-y to y(x-1)? I never would have thought of that!
game changer : )
how does this work??
@@amintafreshi799 It's actually simple factoring. xy and -y have a common factor of y. So you take the y out of both of them, put it outside the parentheses, and what you have left is x-1. xy became x, and -y became -1.
Thanks man! an explanation rather than just watching someone doing it and having to figure out on your own what they are doing right
Hey! I just want to thank you, you saved me lol. Our exam's at Thursday and my teacher forgot to discuss what to do if there are two x's. Thanks a lot!
Thank you for the amazing and simple explanation. I’ve been going out of my mind trying to figure inverse functions the whole day. This really helped me. 👍🏼
you are very welcome Nosiba!!
real education. love from INDIA 🇮🇳
Thank you sir. I was hung up on the part where you factored and it made perfect sense watching your video. Keep em coming, cheers!
I just literally could solve my exercise with this! Thank you so much! You make it so much easier!
2024 and bro still helps out, immense appreciation to you sir
This is great. Thanks, was literally stuck stepbro.
I had to do a test and the last question had me match the steps in the correct order and I forgotten how to solve for the inverse function. The lesson I was given did not give good examples or at least a good one to provide me a guideline. This helped me out a lot!
Thank you so much for this. I have been trying to figure out how to do this all day and I was missing a step but you cleared it up. Keep up the good work!
+John Rodriguez great to hear, happy to still make more and more videos!
I remember my High school math teacher telling me that its not his fault that we dont know what we needed to know to be prepared for his class. He said he will teach what he is paid to teach and thats it. I didn’t fault him because it was his choice but i realized then that being a good mathematician dosent make you a good math teacher. B. Mclogan is a great math teacher.
I love how you do teach the math. It makes it seem beautiful to learn.... What I mean is that my brain does a flip and understands things clearly.
thank you, glad I can help
Thank you sooo much for this video!! It finally clicked!
Hi Brian, I luv ur videos but i am confused on the factoring y part at 2:50 :( where did the other y go and why is there a 1?
saved my life. thank you very much
you're a much better teacher than the my actual precalc teacher... thank you! :-)
You are very welcome!!
Wonderful you make my life easier i like the way you solve the problem. Thank you so much .
Makin my life easier. 😇🙏🏽
OMG Thank you so much, my teacher didn't bother explaining this to us and I had no idea what to do. This has helped so much
I have never been schooled so effectively 👌👌
thank you very much for your video it really helps to answer my homework. Your explanation is clearer than my prof
Thankyou Brian McLogan for your brilliant explanations about such Math, that help some of us a lot.
Thanks for all these videos! Helping me big time with Pre-Cal!! My teacher is French and sometimes I just can't understand her! Wish you were my teacher!
this is so simple and yet it’s confused me for like ten years tysm lol
i wouldn't have ever believed this could be so clear :)
thanks!!
Thank you! I forgot to factor. So glad you mentioned that part.
happy to help! let me know how I can help you further
Thanks, I was trying to reinvent the wheel, but finally found an explanation to my problem.
awesome
THANK YOU THANK YOU THANK YOU SO MUCH MAN YOU ARE LITERALLY GETTING ME THROUGH PRE CALC IM GONNA ACE THIS TEST AND ITS ALL BECAUSE OF YOU I CANNOT PUT MY GRATITUDE INTO WORDS
okay i have a question what g of x would go with this in this formula g(x)=cx-d fill in c and d to match the inverse you solved
Thank you very much!
Thanks Teacher
Then how to graph it plss asap
Very challenging, love the teaching here.
This helped alot. Thanks.
Highly appreciate this video, used it to figure out the inverse of g(x) = x+28/x-7.
Yes!!
You just saved my life today.
Happy to help
Really that helps a lot thnx simple ne easy
Excellent video Brian!!!! I was stuck on that last confusing part, however your strength and dignity helped me power through xo!
i get it now!! thank you so much for this!!!
Thanks for explaining it really well, this help me solve my problems.
so helpful!! thank you
Fantastic step by step instructions! Thank you very much!
you are very welcome! happy to help
Me, a college student:
Reading my notes: ???
Watching this guy's videos: Oh, I get it now!
This was EXACTLY what I was looking for: An inverse of a function with the SAME variable in both the numerator and denominator. I was sitting here for like an hour trying it...
perfect! happy to be able to help
A BIG THANKS TO YOU, SIR !!!
Thank you Mr. Mclogan, now i can not fail my math test tomorrow
Thank you! I love you!
You are a great man
happy to be able to help
Thank you so much, Brian!
Thank you sir!!
Thank you so much sir! Your channel is a blessing
Thank you so much
haha thank you sir!!!! i have got the same question with same numbers and signs in my assignment. thankkkkk youuuuuu sirrrrrrrrrrrr
Hi Brian thanks so much for always helping.. my question is once we get to @1:40 in the video... can we just divide by x then add 4 so that our equation becomes y=(y+2)/x +4??
Thank you so much! So clear now.
this dude is amazing!
cant thank you enough
i was absetn in class when this was taught no one could explain. thank you
great! Let me know how else I can help you?
Just wanted to say you’re the real MVP
i just got an A on my test thank to you. GOAT. thank youuu
Thank youuu!
i love you sooo much i swearr im watching in 2018 dont know if your alive or not but thank you sooo much this saved my life
hahaha I am here, still making videos
He is the best
great example! Word of advice: you should always provide multiple examples as well for us to do it definitely helps to be able to practice more problems. Thank you Sir!
@@brianmclogan I meant more practice problems of finding the inverse. Thanks
yes on that link is a playlist of multiple examples
Thank you so much for your help sir; now I am able to understand these kinds of problems :)
Is it really necessary to put the restriction?
Thanks for this video 🙏 it’s helped immensely
thanks again
Thanks that's easier to understand now
awesome!
Thank you so much!!! This makes so much sense now lol
i tried but could not send you the link, search my channel for it, I have a couple of videos
You’re amazing! Also has anyone ever told you that you look a lot like Jmac?
I have this question here ..find the inverse for this rational function f(x)=5x+4÷2x-1.l have find it already but lm also asked to sketch inverse function and the rational functional on the same x and y coordinates ,l have found the x,and y intercepts,range(horizontal asymptote),domain(vertical asymptote) for both rational and inverse function...Can you help me with some illustration on how to sketch rational function and inverse function on the same x and y coordinates please...thank you
Could you then do a vid on how to domain restrict this and find the domain of the original and inverse’s domain
I'll send you a link to a video I made for it