Let F(x)= 2x^2+x-3 and G(x)=x-1 find F(x)/G(x) and set its domain
G not equal zero ... is the only restriction
now the question is divide the functions
or factor f, and remove any g in it :)
Want me to screen shot the question?
x divided by x is still x correct?
no ... x/x = 1 as long as x not= 0
so it would become 2x^2+1-3?
if g is a factor in f; then it will have to be of them form: (x-1)(2x+k)
im not sure what process you are trying to do to come up with that sort of division ....
This is what i am working with...
lets narrow it down, when does g=0?
when x is zero?
lets try that assumption: g = x-1, let x=0 g = 0-1 = -1. since -1 is not zero .. id say that is not correct
also, none of your options suggest that x=0 needs to be excluded
im on like a 7th grade level math... so i need a quick tune up.
when does x-1 = 0 ? this is pretty basic ....
there exists some number such that when you remove 1 away from it, you are left with nothing .... what is that number?
the number is 1
yes :) so we need to make sure that "1" is not in the domain, so that should narrow it down to 2 options
LIke how?
read the options ..
the domain cannot include the number 1 ...
it cant be B or C
B or C is the only options that it can be, so we have to narrow it down between them
But B and C include 1 in the domain...
OHhh it says except 1 brain fart.
no, they include the set of all real numbers EXCEPT 1
<----- dummy
now i want you to just take a guess ... which one do you think it has to be correct: B or C?
B because its left in a fraction.
no, since the top is NOT the same as f, then that means that g would have to have been canceled out and we would have no bottom to speak about
Oh. so it has to be C
let f=gk\[\frac fg=\frac{\cancel gk}{\cancel g}=k\]
so yes, it has to be C
@amistre64 see i just figured out how to do that problem now they give me this crap..
Except 1?
if x=1, 3-1-10 is not zero
1+4(30) is not zero, so there are 2 values that need to be restriced .. so none of the options are correct
8?
5 times 30 is 150.
d is wrong simply becasue 1 is not a zero of g a and c are wrong becuase they simply dont exclude any values
its B!!!
b is the "most" correct option but its missing one exclusion from the domain
all real numbers except 2 right?
except for 2 and -5/3
so B is the "correct" choice, but its not mathically correct
the limit of f/g exists at -5/3; but the function has no defined value there
Yeah i had my teacher look at it. i wont out of this stupid Gradpoint all i run in to is problems.
spose for instance that your GPS says that you should take a road that crosses at a bridge; the GPS is an equivalent setup for the actual road; but the actual road has the bridge out .... you would not want to take the GPS point at the bridge for the actual point of the bridge missing
f/g is equal to 1/(x-2) at all points EXCEPT for x=2, or x=-5/3
Amistre i envy you.
lol, thnx
No thank you.
you really are trying to teach me, i just wish i would have paid attention more to the teacher in math class than the girls. now im screwed for life.
:) id still pick the girls
lol :)
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