If you have math problems you can't solve, you may post it too by replying here. I may not be able to answer all questions posted(1 question per person per day), but I will find time to share my knowledge. :)
@@marklumauig @kram Hi! f(x)/g(x)= 15x^15/3x^9 . As you can see, you have numbers and x with exponents. for the numbers(15 and 3), divide 15 by 3 so it's 5. for x^15 and x^9, this becomes x^6. From laws on exponents, whenever you divide x containing exponents, subtract their exponents. Hence, x^15/x^9 means x^(15-9), so it's x^6. Therefore, the answer is 5x^6.
8:11, -2x²+9x² is equal to -11x² I think it was wrong it should be 7x² because, the rule of addition and subtraction when it comes to sign is different sign subtract and copy the biggest sign.
I was also confused like you do on that part but here: If two numbers have the same sign, either if its same negative or same positive, the answer will always be positive. So, -11×-3 = 33 To simply understand, same sign = positive answer Different sign = negative answer
Hello. In my solution, naka indicate 5- (-33), so that is the same as 5+33, since the "minus negative" turns into a "plus". Basta lagi tandaan, kapag long division, you subtract so careful sa pag subtract ng negative number. I hope I answered your question. Sorry for late reply.
Hi! You should be subtracting the two numbers, hence, it should be -8-(+114)=-122. I should have made it like this to make it clear: (38x-8)-(38x+114) =38x-8-38x-114= -122
Sir can you point po sana kung anong nga number inaadd mo kase hirap din po kase kung sasabihin lang. Or add arrow po kung San Yung e aadd or e maminus. Ty
place "x+1" to every x in p(x). hence, it becomes 2(x+1)^2+5(x+1)-3 and simplify. copy and paste 2(x+1)^2+5(x+1)-3 in wolfram alpha(search in google or click www.wolframalpha.com/) to see the simplest form . Always remember, evaluation is basically substitution. so if it say p(z), change x with z. if it says p(2x), change x with 2x. it is always like this. just like numbers, when looking for p(2), you replace x with 2 and simplify.
Hi Keithrina! What do you mean by that? Can you give me a specific expression so I would better understand your question?By the way, are you from Pangasinan? Your last name is a common name in a place in Pangasinan.
I encountered a problem in division of function wherein, x²+3 is fx, and -2x+6 is gx, but when it was substituted in the formula fx/gx, -2x+6 became 2x+6. P. S I'm not from Pangasinan😅
Bernardino bathan , yes and note that synthetic division is best to use when the numerator is a polynomial and the divisor is a binomial. If the expression is easy to factor in the numerator, like trinomials, then use factoring first.
Sorry, I should have made it clear that it is -2 minus (+9). When you work on that step, the operation is subtraction. I should have placed the expressions inside the parentheses to make it not confusing.
Hi Angela! (f÷g)(x) means f(x)/g(x) so it is equal to (x^2-8x+15)/(x-5). Factor numerator and you get (x-3)(x-5)/(x-5). cancel both (x-5) and you get (x-3). You could also use long division but not entirely needed as it is easier to factor in this case. Use long division only for cube and up.
@@mathematechxblackboard1942 Thank you! I actually got that answer but wasn't feeling confident in how I got there so until you verified it I was unsure. You just helped me lots!
Paano ho nangyari na -2 + 9 = -11? tapos (-) pa e di ba ho (+)positive dapat na yung 11 kasi greater value ang 9 sa 2? tapos po +5x at -33x = 38x? bakit po positive na siya e di ba dapat negative yun at magiging subtraction yon at ang answer ay magiging negative since bigger than 5 ang 33?
Hi! Follow how it is written. It says f(x)/(g)x so form the fraction as 2x-3/5x-1. The restriction is based on the denominator 5x-1 as it cannot be zero. Zero denominator is undefined. Think of what number will make 5x-1 equal to zero. I know you can find this. Solve 5x-1=0. The answer to this is the restriction.x cannot be equal to what makes 5x-1 equals 0.
set up g/h then substitute 3 on both then simplify the value. That is 2(3)^2+5(3)+2 over 2(3)^2-5(3)-3. Answer is 35/0 or undefined since denominator cannot be 0.
hello there, may i ask, how do you divide f/g(-1) if f(x)= 6x^3 + 23x^2 - 8x - 7 and g(x) = 3x - 2 i've been stuck on this question for almost an hour :'))
@@vent1111 , for this one, since it says (f/g)(-1), which means you are finding the value of f/g when x=-1, you can go straight to substituting -1 on the x of each function, f and g. So find f(-1) and find g(-1) then divide the resulting values. f(-1)=18 and g(-1) = -5 so the the value of (f/g)(-1)=18/-5 or -18/5.
Hi Heaven! Could you give me a specific set of functions that you want to see? I will work through the exact functions that you will give me. Thank you.
@@mathematechxblackboard1942 Thank you for getting back to me!!! In my haste I realized what I was doing wrong! I realized I was adding the 16 and 3 and not multiplying it!
wrong answer on long division try seeing the signs first thats why many students got wrong becuase they dont go to see the signs if it is positive or negative
Sorry for the late reply. (j/g)(-1)=j(-1)/g(-1)= ((-1)^3+8)/(-1)+2=7/1=7. But if you are looking for (j/g)(x), you have to write the expression (x^3+8)/(x+2) which you still have to divide(or use factoring) to simplify.
I showed different cases. Some expressions are needed to be simplified, some can be written as is. And as a student, you should be able to identify these cases.
factor out common factor for each function. 4x+6=2(2x+3) while 2x+8=2(x+4) so f(x)/g(x)= 2(2x+3)/2(x+4) then cancel 2 and 2 (numerator and denominator) result is (2x+3)/(x+4). Don't cancel "x". It is not allowed. okay? sorry for late reply.
Sir gdpm po paki help naman po kasi kanina pa kami nah solve hindi makuha namin.....isang mumber na hindi namin masagot ito po g(x)%h(x) given g(x)=x+3 h(x)=4x-8
Mary Jane Janiola hi! From how I understand your question, the answer is (x+3)/(4x-8). That is the simplest form. I am curious why you found it confusing.kindly explain your confusion.
@@mathematechxblackboard1942 sir opo pero confusing po.....sir I try to solve but im not sure kung tama po ito.....please correct me if im wrong.....ito po ang solution ko.... given=g(x)=x+3 given=h(x)=4x-8 answer: x+3/4(-8) =x+3/4(x-2) yan po Sir Pablo ang sagot ko.
when you can't understand your lesson in your online class, so you go here instead
If you have math problems you can't solve, you may post it too by replying here. I may not be able to answer all questions posted(1 question per person per day), but I will find time to share my knowledge. :)
@@mathematechxblackboard1942 thanks
Your follower from Syria in the middle east
@@mathematechxblackboard1942 how to solve f(x)/g(x) given f(x)=15x¹⁵ , g(x)=3x⁹?
@@mathematechxblackboard1942 how to solve f(x)/g(x) given f(x)=15x¹⁵ , g(x)=3x⁹?
@@marklumauig @kram Hi! f(x)/g(x)= 15x^15/3x^9 . As you can see, you have numbers and x with exponents. for the numbers(15 and 3), divide 15 by 3 so it's 5. for x^15 and x^9, this becomes x^6. From laws on exponents, whenever you divide x containing exponents, subtract their exponents. Hence, x^15/x^9 means x^(15-9), so it's x^6. Therefore, the answer is 5x^6.
I'm in modular class I don't even understand a thing thnx for all the video who looks like this
Yow same here HAHAHA just keep it together we will get through this
@p s it's basically like test papers but thicker and more complex, it's like a self teaching book and it's way harder trust me HAHAHAAHAHHA
Thanks bro, you saved me from breaking my head against the wall
Floor gang member is pleased
Tbh i usually get stuck at the breaking down part
i just finished watching the video and boi i thought u were pertaining to breaking down ~ mentally ~ 😭😭😭😭 but i agree with u lmfao
I found out that your voice sounds like the one who was teaches us gApps in Apec. This school year po.
8:56 the negative two x squared - positive 9 x squared why your answer is negative 11x squared it supposed to be positive 7 x squared right?
Same thought
How to know if the function is not factorable? If it is not factorable mean you dont have to solve the problem?
the denominator's result can't be 0, if it became zero, it isn't possible for it to be factorized
hays tatambay na nga lang dito pa talaga
You explained very well.thank you
Great explanation.
Thank you
Thnx much sensei
8:11, -2x²+9x² is equal to -11x² I think it was wrong it should be 7x² because, the rule of addition and subtraction when it comes to sign is different sign subtract and copy the biggest sign.
Hi! it should be -2x^2 - (+9x^2) so it become -2x^2-9x^2 so it is really -11x^2.
@@mathematechxblackboard1942 Ah okay I get it.
5-33 = 38? bakit po naging 38? diba dapat -28 po?
I was also confused like you do on that part but here:
If two numbers have the same sign, either if its same negative or same positive, the answer will always be positive. So, -11×-3 = 33
To simply understand, same sign = positive answer
Different sign = negative answer
Hello. In my solution, naka indicate 5- (-33), so that is the same as 5+33, since the "minus negative" turns into a "plus". Basta lagi tandaan, kapag long division, you subtract so careful sa pag subtract ng negative number. I hope I answered your question. Sorry for late reply.
-8+ 114 is equals to 106 right??? not -122?
Hi! You should be subtracting the two numbers, hence, it should be -8-(+114)=-122. I should have made it like this to make it clear: (38x-8)-(38x+114) =38x-8-38x-114= -122
Thank you so much, but I still feel that there is a simplest way to divide high degree polynomials in to factors of binomials .
thank youuu it helps me a lot since i forgot this lesson in my gr 9 dayss
Sir can you point po sana kung anong nga number inaadd mo kase hirap din po kase kung sasabihin lang. Or add arrow po kung San Yung e aadd or e maminus. Ty
Why is -2x^2+9x^2= -11x^2?
Shouldn't it be "7x^2"?
UA-cam is OurTeacher
This will help thanks a lot
How about this sir
p(x)= 2x² + 5x - 3 ; if p(x+1)
"evaluating function"
place "x+1" to every x in p(x). hence, it becomes 2(x+1)^2+5(x+1)-3 and simplify. copy and paste 2(x+1)^2+5(x+1)-3 in wolfram alpha(search in google or click www.wolframalpha.com/) to see the simplest form . Always remember, evaluation is basically substitution. so if it say p(z), change x with z. if it says p(2x), change x with 2x. it is always like this. just like numbers, when looking for p(2), you replace x with 2 and simplify.
What would i do if they can't be simplified?
how it become x-3/x+6??
Sir pano po naging positive 38?
If the g(x)'s first term is a negative, do I need to change it to positive?
Hi Keithrina! What do you mean by that? Can you give me a specific expression so I would better understand your question?By the way, are you from Pangasinan? Your last name is a common name in a place in Pangasinan.
I encountered a problem in division of function wherein, x²+3 is fx, and -2x+6 is gx, but when it was substituted in the formula fx/gx, -2x+6 became 2x+6.
P. S I'm not from Pangasinan😅
If the teacher ask to simplify i will use the synthetic right?
Bernardino bathan , yes and note that synthetic division is best to use when the numerator is a polynomial and the divisor is a binomial. If the expression is easy to factor in the numerator, like trinomials, then use factoring first.
Thank you, I was really confused lol
Thank you
Modular learning. I understood nothing. Had to search on UA-cam. Thank you.
-2 + 9 = 7? But why is it -11 I'm confused.
Sorry, I should have made it clear that it is -2 minus (+9). When you work on that step, the operation is subtraction. I should have placed the expressions inside the parentheses to make it not confusing.
wow! for the first i can actually understand math hahhaah
How about x+2/ x-2 ??
Hi! That is already the simplest form. No division needed.
What about a problem that says this...
f(x) = x² - 8x + 15 and g(x) = x - 5
Find (f ÷ g)(x) and express the result in standard form
Hi Angela! (f÷g)(x) means f(x)/g(x) so it is equal to (x^2-8x+15)/(x-5). Factor numerator and you get (x-3)(x-5)/(x-5). cancel both (x-5) and you get (x-3). You could also use long division but not entirely needed as it is easier to factor in this case. Use long division only for cube and up.
@@mathematechxblackboard1942 Thank you! I actually got that answer but wasn't feeling confident in how I got there so until you verified it I was unsure. You just helped me lots!
3:08
Paano ho nangyari na -2 + 9 = -11? tapos (-) pa e di ba ho (+)positive dapat na yung 11 kasi greater value ang 9 sa 2? tapos po +5x at -33x = 38x? bakit po positive na siya e di ba dapat negative yun at magiging subtraction yon at ang answer ay magiging negative since bigger than 5 ang 33?
the default operation is subtraction, hence it should be -2- (+9)=-2-9=-11 and +5x - (-33x)=5x+33x=38x.
I came to the comment section to see this thank u i understand it kudos ⚪@@mathematechxblackboard1942
Hello! I need help with something.
g(x)/f(x)
f(x)= 2x-3
g(x)=5x-1
It also asks for the restriction for x??
Thank you! :’)
Hi! Follow how it is written. It says f(x)/(g)x so form the fraction as 2x-3/5x-1. The restriction is based on the denominator 5x-1 as it cannot be zero. Zero denominator is undefined. Think of what number will make 5x-1 equal to zero. I know you can find this. Solve 5x-1=0. The answer to this is the restriction.x cannot be equal to what makes 5x-1 equals 0.
@@mathematechxblackboard1942 Thank you so much for your help!!
need help!! who knows the answer here: it is division btw f/g (x)
f(x) = 3x-2
g(x) = x^2 + 2x - 3 i dont understand it lmao iT reAlly hUrts
f/g x= (3x-2)/(x^2+2x-3) = (3x-2)/(x+3)(x-1)
Need help!
g(x)=2x²+5x+2
h(x)=2x²-5x-3
Find (g/h) (3)=?
Please help me!
Hi Dina! Can you rewrite the g(x)? What is the sign between 2x^2 and 5x? Plus or minus?
It's +
set up g/h then substitute 3 on both then simplify the value. That is 2(3)^2+5(3)+2 over 2(3)^2-5(3)-3. Answer is 35/0 or undefined since denominator cannot be 0.
Thank you so much😘😍
@@mathematechxblackboard1942 can you help about this..
What is fuction model of this condition..
1.Twice the square of a number?
I hope you cans solve problems with only 2 expressions
Hi Christopher! You may type in an actual problem that you need to understand how to answer. Thanks!
thanks😢
How do i solve this?
Find (f • g) (x) and (g • f) (x)
f(x)=x , g(x)= 1/2x+1
Hi! is this multiplication or composition? Just to make sure.
@@mathematechxblackboard1942 it's multiplication
Oh, my bad it's composition
Hi! Here is a similar problem ua-cam.com/video/GSsb23iBd5Y/v-deo.html.
hello there, may i ask, how do you divide f/g(-1) if f(x)= 6x^3 + 23x^2 - 8x - 7 and g(x) = 3x - 2
i've been stuck on this question for almost an hour :'))
Hi! Do you still need to find the answer for this? Sorry for the late response.
@@mathematechxblackboard1942 I'll prolly just use it for reference but it would be nice :DD
@@vent1111 , for this one, since it says (f/g)(-1), which means you are finding the value of f/g when x=-1, you can go straight to substituting -1 on the x of each function, f and g. So find f(-1) and find g(-1) then divide the resulting values. f(-1)=18 and g(-1) = -5 so the the value of (f/g)(-1)=18/-5 or -18/5.
How about if the f(x) is a fraction and also g(x) is a fraction too?? Thank you, hope mapansin.
Hi Heaven! Could you give me a specific set of functions that you want to see? I will work through the exact functions that you will give me. Thank you.
@@mathematechxblackboard1942 (f/g) (x) when f(x) = 4x/ 3x - 2 and g(x) 1/x also what if the f(x) = 1+1/x and g(x) =x
@@Ayieeen16 Hi! I hope this one will help you understand the idea. ua-cam.com/video/rGu31b7pRq4/v-deo.html
@@mathematechxblackboard1942 thank you po😭❤️❤️❤️❤️
F(x)= 3x+8 and G(x)=3x²+2. Find G(4)/F(4).
here :) ua-cam.com/video/YcU4CDeRTLU/v-deo.html
@@mathematechxblackboard1942 Thank you for getting back to me!!! In my haste I realized what I was doing wrong! I realized I was adding the 16 and 3 and not multiplying it!
@@Palo_Azul You're welcome. :)
Wala ako naintindihan pota
wrong answer on long division try seeing the signs first thats why many students got wrong becuase they dont go to see the signs if it is positive or negative
please check it again. I think there is no error. :)
Hi po...uhmmm I can't get the answer of this problem po..(j/g)(-1)
J(x)=x³+8 and g(x)=x+2
Need ur help po😓
Sorry for the late reply. (j/g)(-1)=j(-1)/g(-1)= ((-1)^3+8)/(-1)+2=7/1=7. But if you are looking for (j/g)(x), you have to write the expression (x^3+8)/(x+2) which you still have to divide(or use factoring) to simplify.
Huh? Factoring 6 is 3x1? Lol
How come -2+9 became -11 lololol explain
Because it is subtraction, not addition. it shoud be -2-(+9)= -2-9=-11
How about this sir:
f(x)= 2x³ + x - 3
g(x)= x - 1
g(x)/f(x)
With domain po
Hi Samu! Just to be sure, is this 2x^3+x-3or 2x^2+x-3?
@@mathematechxblackboard1942 2x^3 + x - 3 po
LU2 BOYSS PISOT
sir, how about this?
F(x)= x^2 + 3x + 2
G(x) = x + 2
1. (F/g) (3)
~ F (x)/ G (x) = F (3)/G (3)
So...
3^2 + 3 (3) + 2 / 3 + 2
Ano po sagot po?
perform PEMDAS and the answer is 4.
@@mathematechxblackboard1942 Tama ako hehe🙃 thank you pooo~~~
Pinalitan yung example kase di masagotan HAHAHA
I showed different cases. Some expressions are needed to be simplified, some can be written as is. And as a student, you should be able to identify these cases.
Bruh need help
(F/g)(x)
F(X)=4X - 6
G(X)=2X + 8
factor out common factor for each function. 4x+6=2(2x+3) while 2x+8=2(x+4) so f(x)/g(x)= 2(2x+3)/2(x+4) then cancel 2 and 2 (numerator and denominator) result is (2x+3)/(x+4). Don't cancel "x". It is not allowed. okay? sorry for late reply.
Sir gdpm po paki help naman po kasi kanina pa kami nah solve hindi makuha namin.....isang mumber na hindi namin masagot ito po g(x)%h(x) given g(x)=x+3 h(x)=4x-8
Mary Jane Janiola hi! From how I understand your question, the answer is (x+3)/(4x-8). That is the simplest form. I am curious why you found it confusing.kindly explain your confusion.
@@mathematechxblackboard1942 sir opo pero confusing po.....sir I try to solve but im not sure kung tama po ito.....please correct me if im wrong.....ito po ang solution ko.... given=g(x)=x+3 given=h(x)=4x-8 answer: x+3/4(-8) =x+3/4(x-2) yan po Sir Pablo ang sagot ko.
@@latiffaraniaofficial0406 yes, that is correct. by the way I am not sir Pablo. :)
Pa send po ng sagot
I don't understand you
You may ask other questions instead and I will try to explain how to answer it.