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Mathematics 18 Online
OpenStudy (anonymous):

Pre-Calculus HELP!!

OpenStudy (anonymous):

OpenStudy (anonymous):

^^^^

OpenStudy (anonymous):

https://media.glynlyon.com/g_prc_2012/1/u17.gif this also goes with the problem

OpenStudy (anonymous):

\(a\) does not have to be negative it just cannot be zero

OpenStudy (anonymous):

what are you talking about? Im really confused.

OpenStudy (anonymous):

i read \(\{(a,b):ab=12\}\)

OpenStudy (anonymous):

means the set of all ordered pairs \((a,b)\)whose product is 12

OpenStudy (anonymous):

so for example \((2,6),(3,4),(5,\frac{12}{5}), (12,1), (-4,-3)\) all belong there

OpenStudy (anonymous):

you are asked for the "domain" meaning the possible values for \(a\) the first coordinate

OpenStudy (anonymous):

okay I think im getting it a little

OpenStudy (anonymous):

you can make \(a\) any number that you like, because whatever you choose for \(a\) you can put \(b=\frac{12}{a}\) it will work HOWEVER you cannot let \(a=0\) because if \(a=0\) you cannot solve \(0\times b=12\)

OpenStudy (anonymous):

in other words, \(a\) can be any number you choose, except for \(0\) because there is no way \(0\times b=12\)

OpenStudy (anonymous):

btw this also explains why you cannot divide by 0 if \(ab=12\) then \(b=\frac{12}{a}\) but \(\frac{12}{0}\) in not defined because there is no way that \(0\times b=12\)

OpenStudy (anonymous):

ok they arent allowing me to change the 0, so it would be \[\neq 0\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Thank you I think I have it now!!!

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