what is the domain of the function: f(x) = 6/(x-4)

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what is the domain of the function: f(x) = 6/(x-4)

Mathematics
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we have f(x)= 6/(x-4) x can't be 4 that'll make f(x) infinity so domain is all real numbers except 4 R-{4}
technically not infinity, it'll be undefined
how do i state it correctly?

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Other answers:

\[D=\left\{ x \neq4, x \in R \right\}\]
*D: {x≠4,x∈R}
thanks, can I just put \[\neq\] 4 ?
i mean x is not equal to 4
depends on what your teacher wants
well how do you do the work to see f(x) = 6/(x-4) please
?
i still don't totally understand domain, please help a bit more
domain is all the possible x values of a function which gives f(x) a value
you cannot divide a number by 0, because it will be undefined, thus f(x) won't be defined at that point
if x=4, f(x)=6/0 which is undefined
*f(4)=6/0 which is undefined
thank you, so I wrote that the answer is undefined
does that mean 6 divided by 6-4?
6/(4-4)
Take a look at, say, the first minute of this video. Note the two basic guidelines on what to watch for when finding domains. http://www.youtube.com/watch?v=sbvSBH2Mo20

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