Mathematics
6 Online
OpenStudy (anonymous):
simplify f(x)= (2x^2+3x+1)
then using complete sentences explane why f(1)=2, f(0)=1, and f(-1)=0, yet f(-1/2) is undefined, please show work :)
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OpenStudy (eyust707):
do you know what we mean by "f(1)"
OpenStudy (anonymous):
no
OpenStudy (eyust707):
f(1) means:
"plug a 1 in for x"
OpenStudy (eyust707):
what does that equation equal when we put a 1 in for x?
OpenStudy (anonymous):
its over 2x+1 i forgot that
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OpenStudy (eyust707):
okay..
OpenStudy (eyust707):
same notation applies
OpenStudy (eyust707):
what does that equation equal when we plug a 1 in for x?
OpenStudy (anonymous):
the x in f(x) is the plug in for all the x's i know
OpenStudy (eyust707):
yes change all the x's for 1
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OpenStudy (eyust707):
then do easy math to come up with a number
OpenStudy (anonymous):
i still cant simplify it
OpenStudy (eyust707):
what do you have?
OpenStudy (anonymous):
have what?
OpenStudy (eyust707):
What equation are you having trouble simplifying?
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OpenStudy (anonymous):
the one in the questain next to the word simplify over the other numbers i said i forgot
OpenStudy (eyust707):
did you plug in a 1 for x?
OpenStudy (anonymous):
that wony simplify it -___-
OpenStudy (eyust707):
did you try?
OpenStudy (eyust707):
because i assure you it will
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OpenStudy (anonymous):
its 6 nut thats an answer not a simplify
OpenStudy (eyust707):
remember its all over.. 2x+1
OpenStudy (eyust707):
and when you plug a 1 in for x on the bottom part you get 3
OpenStudy (eyust707):
6/3 is 2
OpenStudy (eyust707):
which is why f(1) = 2 !!!
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OpenStudy (anonymous):
yah and...
OpenStudy (eyust707):
that is the very first part of the question you posted and asked for help on
OpenStudy (eyust707):
if you do the same for 0 you get 1
OpenStudy (anonymous):
itds noy simplixied
OpenStudy (eyust707):
the number "2" is as simple as it gets!
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OpenStudy (eyust707):
now the next part is to try and do that for -1/2
OpenStudy (anonymous):
\[\large f(x) = \frac {2x^2+3x+1}{2x+1}\]
i'm just clarifying the function.... :)
OpenStudy (eyust707):
sweet!
OpenStudy (eyust707):
if you would like to finish the problem try and plug in -1/2 for x..
OpenStudy (eyust707):
you wil find that you get 0 in the denominator
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OpenStudy (eyust707):
anything over 0 is undefined