Question

can someone help with this?

Answer 1

I am working on this one You are going to need to give me a little bit though as it will take a while to write out and explain.

Answer 2

ok take your time. im starting to get it but im getting stuck becauswe both F and G are fractions

Answer 3

a. yeah, that is going to make it pretty tedious. (F+G)(7) is the same of F(7)+G(7)

Answer 4

have you goteen an answer for a yet?

Answer 5

i think i got an aswer for d.

Answer 6

okay, what did you get for d?

Answer 7

\[\left\{ x \in \mathbb{R}|x \neq (5/2) \right\}\]

Answer 8

do you mean -5/2 ?

Answer 9

oh yeah thats what i wrote haha

Answer 10

and G is

Answer 11

\[\left\{ x \in \mathbb{R}| x \neq (7/3) \right\}\]

Answer 12

the ones that i have to add or subtract the fraction are the ones im stuck on...

Answer 13

would g. be those 2 put together by any chance?

Answer 14

my professor never went over the fraction part of this section -.-

Answer 15

only that the bottom cannot equal 0
but thats a given

Answer 16

So, you are semi-on theright track for G. Domain gets really strange with division.
When you have something like DOM(F/G) you have to be especially careful when they are fractions. I would suggest using the invert and multiply method. so turm DOM(F/G)
into DOM(F*1/G) this is nice way to look at it. now take this new equation and check for the Domain:
The denominators cannot equal zero so that is what we will look at
denominator of F is 2x+5 and denominator of 1/G is x^4-16 so x cannot equal either -5/2 or 2.

does that make any sense? it is a very hard concept to explain using only text.

Answer 17

so you are saying ..?
\[\left\{ x \in \mathbb{R} | x \neq (-5/2) and x \neq 2\right\}\]

Answer 18

for f. i dont have to subtract them right? just find the denominators that dont fit?

Answer 19

would the domain of a. be the same of g.? because the denominators are the same?

Answer 20

sorry for all the questions... :/

Answer 21

sorry said my last question wrong...
would the domain of a. be the same of f.? because the denominators are the same?

Answer 22

yes, for f you just have to worry about G and F's denominators you don't actually have to do subtraction.

Answer 23

For G.

Yes, because if you look at the equation: F/G you have 3 fractions in all (since both F and G are fractions)

You have the F, G and the fraction F/G

so you know that if the denominator equals 0, then the equation is undefined.

Well, You need to worry about two denominators, the Denominator of F which is 2x+5

and you need to worry about the denominator of F/G which is G or (x^4-16)/(3x-7)

so, the denominator of F is zero when x=-5/2

and the denominator of F/G is zero when G=0 and G=0 when x=2

does that make a little more sense?

Answer 24

and yes, the domains of A and F are the same!

Answer 25

oh wait a.-c. are different... its asking for simplest form?

Answer 26

Yes, A-C are not dealing with domains. for those your answers will be fractions.

Answer 27

would that just be ((7x-42)/(2x+5))+(((x^4)-16)/3x-7)?

Answer 28

or do i have to add them?

Answer 29

No, you are plugging 7 in for x for both of the equations.

Answer 30

oops yeah i forgot to put it like that on the computer but thats what i wrote but do i just keep it as is or do i add them together after?

Answer 31

it isn't "(F+G)*(7)" it's (F+G)(7) it is exactly like saying F(7)+G(7)

Answer 32

it would look like this before you simplify it:

7-6 7^4 -16
--------- + -----------
(2*7)+5 (3*7)-7

Answer 33

what about the x?

Answer 34

You need to add them together because it is asking you for the simpleist form. Be very careful as one small mistake during the addition process can mess up your answer bad.

Answer 35

oooooo! i get the (7) now! sorry >.< its a long night/morning haha

Answer 36

ok now how would i add them? do i get a common denominator?

Answer 37

yes, you will need to get the GCD.

Answer 38

Okay. I am going to post you my answers because I need to go to bed, it is 7AM and I have to drive for 4 hours tomorrow and wake up at 10:30AM :). I strongly suggest that you don't just copy my answers though because it sounds like you are starting to get it and if you don't actually finish the problems the process might not stick and you will be screwed for whenever you are tested on this. Also I strongly suggest you do them too because I'm human and can easily make mistakes so double checking answers is always good. Here is what I got:

a. 45329/76

b. 3927/92 (that is after simplifying another fraction so make sure your's is as simplified as possible before comparing)

c. C is undefined because F(6)=0 and F is the denominator of G/F

d. x cannot be -5/2

e. x cannot be 7/3

f. x cannot be -5/2 or 7/3

g. x cannot be -5/2 or 2

Answer 39

If you have further questions I will be happy to answer them tomorrow or Friday. I know that won't help with this homework but knowing the process for Test, quizzes, and higher maths is more important than one homework grade!

Answer 40

for a.
how is it /76 on the bottom?

Answer 41

i got 266

Answer 42

You are completely right! I'm not sure where my 76 came from but the bottom should be 266.

Answer 43

well thank you VERY much for your help ^_^ this helped me a lot getting an understanding :D
Thanks again!

Answer 44

im in a hybrid online/inclass course and the teacher doesnt do much -.-
i found my assistance now ^_^

Answer 45

No problem, sorry it took a while. I have explained this in person to multiple people and it is a lot easier in person; but hey, You got it and it only took like an hour lol. may I ask what math course this is for?

Answer 46

intermediate algebra
starting in college so didnt want to go too high for my frist math class

Answer 47

first*
i was in calc before i graduated highschool 2 1/2 years ago haha

Answer 48

getting a refresher for now but a lot of this i have forgotten because i didnt really have good math teachers. they all used the banking concept and i was one to use the problem-posing concept with my work so most of my work was by my hand -.-

Answer 49

was always good in math just not right now haha

Answer 50

yeah teachers make ALL the diffence I was lucky and my Highschool calc teacher was the best teacher I have ever had so It stuck with me really well, AND he was my Physics teacher so that was nice too. Anyway good luck!

Answer 51

im taking physics next year so i hope i still know you haha
xD

Answer 52

thanks again i will be seeing you later! congrats on graduating by the way!