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anonymous

  • 4 years ago

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

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  1. ash2326
    • 4 years ago
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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}

  2. anonymous
    • 4 years ago
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    technically not infinity, it'll be undefined

  3. anonymous
    • 4 years ago
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    how do i state it correctly?

  4. anonymous
    • 4 years ago
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    \[D=\left\{ x \neq4, x \in R \right\}\]

  5. anonymous
    • 4 years ago
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    *D: {x≠4,x∈R}

  6. anonymous
    • 4 years ago
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    thanks, can I just put \[\neq\] 4 ?

  7. anonymous
    • 4 years ago
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    i mean x is not equal to 4

  8. anonymous
    • 4 years ago
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    depends on what your teacher wants

  9. anonymous
    • 4 years ago
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    well how do you do the work to see f(x) = 6/(x-4) please

  10. anonymous
    • 4 years ago
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    ?

  11. anonymous
    • 4 years ago
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    i still don't totally understand domain, please help a bit more

  12. anonymous
    • 4 years ago
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    domain is all the possible x values of a function which gives f(x) a value

  13. anonymous
    • 4 years ago
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    you cannot divide a number by 0, because it will be undefined, thus f(x) won't be defined at that point

  14. anonymous
    • 4 years ago
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    if x=4, f(x)=6/0 which is undefined

  15. anonymous
    • 4 years ago
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    *f(4)=6/0 which is undefined

  16. anonymous
    • 4 years ago
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    thank you, so I wrote that the answer is undefined

  17. anonymous
    • 4 years ago
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    does that mean 6 divided by 6-4?

  18. anonymous
    • 4 years ago
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    6/(4-4)

  19. Directrix
    • 4 years ago
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    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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