anonymous
  • anonymous
find f(x) domain \[f(x)=\log _{x-3}(x ^{2}-1)/(x ^{2}-4)\]
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
a few issues that might influence domain are an x under the fraction the x in the base notation, dont think we can have log_0 and the x on the log argument itself; nothing 0 and under is good
anonymous
  • anonymous
you mean \[x >3 \]
anonymous
  • anonymous
?

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amistre64
  • amistre64
well, lets start with the log argument part: x^2 - 1 <= 0 is bad x^2 <= 1 x <= -1 , or x >=1 would be offlimits
amistre64
  • amistre64
so we are defined by just that to be between -1 and 1
amistre64
  • amistre64
nothing in the interval makes the bottom look bad so lets try to see if theres anything in there that would make the base part go bad
amistre64
  • amistre64
there might be some issue in a -base for SOME numbers
amistre64
  • amistre64
for instance: log-2(8) = y 8 = (-2)^y is not defined
amistre64
  • amistre64
http://xa.yimg.com/kq/groups/4750694/1645343743/name/Negative+Bases+for+Logs.pdf
anonymous
  • anonymous
the domain is this \[(3,4)\cup(4,+\infty)\]
anonymous
  • anonymous
amir.sat is right
amistre64
  • amistre64
i messed up on my x^2 - 1 dint i :)
anonymous
  • anonymous
tnx
anonymous
  • anonymous
amir you defeated the 100level guy
amistre64
  • amistre64
ive been defeated plenty of times ;)
amistre64
  • amistre64
wolfram would have told me if I was wrong in the end im sure of it lol
anonymous
  • anonymous
lol :)
anonymous
  • anonymous
but i've done that with my self if you have a lot of time i'll show you
anonymous
  • anonymous
amir don't you want to give a question MedaL
anonymous
  • anonymous
oww yeah
anonymous
  • anonymous
\[{((-3 + x) (-1 + x^2))/(-4 + x^2)} \]

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