anonymous
  • anonymous
what is the domain of the function: f(x) = 6/(x-4)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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ash2326
  • ash2326
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}
anonymous
  • anonymous
technically not infinity, it'll be undefined
anonymous
  • anonymous
how do i state it correctly?

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anonymous
  • anonymous
\[D=\left\{ x \neq4, x \in R \right\}\]
anonymous
  • anonymous
*D: {x≠4,x∈R}
anonymous
  • anonymous
thanks, can I just put \[\neq\] 4 ?
anonymous
  • anonymous
i mean x is not equal to 4
anonymous
  • anonymous
depends on what your teacher wants
anonymous
  • anonymous
well how do you do the work to see f(x) = 6/(x-4) please
anonymous
  • anonymous
?
anonymous
  • anonymous
i still don't totally understand domain, please help a bit more
anonymous
  • anonymous
domain is all the possible x values of a function which gives f(x) a value
anonymous
  • anonymous
you cannot divide a number by 0, because it will be undefined, thus f(x) won't be defined at that point
anonymous
  • anonymous
if x=4, f(x)=6/0 which is undefined
anonymous
  • anonymous
*f(4)=6/0 which is undefined
anonymous
  • anonymous
thank you, so I wrote that the answer is undefined
anonymous
  • anonymous
does that mean 6 divided by 6-4?
anonymous
  • anonymous
6/(4-4)
Directrix
  • Directrix
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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