Composite Functions Domain Fractions & Square Roots / Radicals - Inverse Functions & Graphs
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- Опубликовано: 16 янв 2025
- This algebra 2 and precalculus video tutorial provides an introduction basic overview / review on composite functions that contain fractions and radicals such as square root functions. It explains how to find the domain of a composition of functions and how to express it using interval notation and a number line. It also shows you how to determine if two functions are inverses of each other.
Domain and Range - Free Formula Sheet:
bit.ly/4eheN2W
Functions - Free Formula Sheet:
bit.ly/3Ai8NZv
Functions - Video Lessons:
www.video-tuto...
Functions - Free Formula Sheet: bit.ly/3Ai8NZv
Domain and Range Formula Sheet: bit.ly/4eheN2W
Functions & Graphs - Video Lessons: www.video-tutor.net/functions.html
I don’t even read the book anymore, I just come to you for the lessons. Your voice is perfect plus the way you explain is superior.
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ruclips.net/video/i4YjMBDI55c/видео.html for advanced concept
@@dinaabdulnaser5475 ruclips.net/video/i4YjMBDI55c/видео.html for more advanced concept
I really prefer learning math this way,at home in peace
I feel like being in class,at an uncomftorable space is tiring..And the fact that your prof only explains once is pressuring..Like this I can sit and watch and replay till I understand at peace! Ive been trying to learn these composite functions and finally I get it! Thank you
@@FFF034 seeing this at 9th lol
@@davidcaro827 that's what college is like bro. You'll learn what you forgot all over again. Just like the math section is stuff you learned in middle school
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ruclips.net/video/i4YjMBDI55c/видео.html for advanced concept
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Fr better at explaining than my teacher
I've learned so much from you than from our prof at our school. I wish you were my math teacher. I'm trying to advanced study this because I'm sure it won't be explained as detailed as you do by my prof.
For more advanced concept
ruclips.net/video/i4YjMBDI55c/видео.html
Thanks!
It's always easy when you explain it
Dude thank you so much! My professor made such a simple concept so much more confusing by making us memorize a paragraph to write down to find the answer, when she could have just told us about the number line and simple plug-in numbers. Thank you once again
I think its a huge hint when there are videos included with my online lessons, but I cam here because I was stuck. You explain it better than my actual online instructor.
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Two great ways to prove that two single variable functions are inverses of each other by checking to see if their composition equals x. Would the inverse of the inverse function of a function result in the original function. Consider: The anti-derivative of the derivative of a function gives back the original function. You inspire and motivate me, through your videos, to continue studying Maths. Thanks JG.
true because theoretically f^-1(x) = g(x) and vice versa if they are inverses.
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This Tutorial was pretty solid
straight up
by far you are the best i have seen explain these math problems... thanks for explaining the "why" so we can understand it
True
Alex yes, the “why” if teachers would do that it would be much easier to comprehend and move forward with purpose.
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You are the Man!! This video was great. Thanks
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Did you?
Thx for that video. Btw I've checked the function (at 19:00) in Desmos and there's a point (-1, 0).
yea i think he made a mistake. 3/((4/0) -2) is like 3/4/0 which is like (0*3)/4 then you get the answer to be 0 and not undefined
i have ap calc quiz on this tmr
thank!
9:58 Why is it necessary to test each section of the numberline (b/c there are two critical numbers) for this example, but for the following two examples you don't test the sections of the numberline (even though they also have two critical numbers)?
These math session are so informative
Can anyone tell me at 8:32 why cant 1/(x+3) -2 cant be less than 0
Hi, Abdul! To answer your question: 1/(x + 3) - 2 is all under a radical. The rule with radicals is that you can not have a negative number under a radical. If you do, you get an imaginary number "i".
thank you, this helped so much !
Very sample and easy to understand
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wtf it is actually that simple my highschool textbook really be explaining it in a way only a math or english major could understand
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To prove that two single variables are inverses of each other by checking if their composition equals one?!? My math teacher never mentioned that part but since you did it really helped me prepare for my math exam thank you!!
precise explanation
thanks for explaining
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Compotion
Great Job explaining
At 21:08, shouldn't there be an additional union of (1,2) U (2, +Infinity) since F(x) can not have a +2 as an x value in the denominator? Thank you for all your videos by the way, you have helped me understand Precalculus.
For the question with x+3 in the denominator, shouldn't you use cases to see if x+3 as a whole is greater or less than 0?
Because if x+3 as a whole was negative, you would have to flip the inequality sign.
Yes, He should use it. Thats why we got x>-3
Correct, which gives -3 ≤ x ≤ -(5/2), and then applying the additional restriction x ≠ -3 gives the correct domain (-3, -2.5] and this methods avoids all the clunky subbing in and checking.
Yess i was also confused by this because we got a resolt of x
great video thank you so much
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This was helpful
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watching this because I understand him more than my math teacher.
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"That 69 looks terrible"... that's what the organic chemistry tutor said. (17.11) 'The audience laughs'
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what are critical points as said at 9:53 and why does that reason the use of the number line?
Great job!
I am confused again. I thought that the input function was the only restriction. So if both of them are radicals, they are both restrictions? Or is it is the input function is a radical you have to solve for the composite function to find the second restriction?
Maybe its a restriction of a restriction?
I just vame to know that u call that 'root under' a radical
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Wait so you always take the domain of the input and answer only, right?
Just thanks ❤
It's insane how missing one part of something mixed with having shaky math foundation and make you sit there and try everything, but what's also insane is learning all of the mistakes you can make by trying everything possible without doing what you're actually supposed to do so you can help others later and recognize mistakes they could be making which are the same or similar to the ones you learned along the way.
you described my exact situation. I have a very shaky math foundation and sometimes don't understand small parts of an eqn which leave me feeling so behind
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I can now enjoy Math