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Study23

  • 2 years ago

How would you notate the Domain restrictions of the following function?

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  1. Study23
    • 2 years ago
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    \(\ \huge f(x)=\frac{\sqrt{x-2}}{x} \). D: ?. Also, what is the difference between the \(\ \huge [ \) and the \(\ \huge ( \) sign when writing the restrictions?

  2. Study23
    • 2 years ago
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    @FoolForMath

  3. freckles
    • 2 years ago
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    Well first of all when is the bottom 0?

  4. lgbasallote
    • 2 years ago
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    @rebeccaskell94 help

  5. freckles
    • 2 years ago
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    Then you will look at when x-2>=0 Since you can only have radical of a positive or neutral number

  6. freckles
    • 2 years ago
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    But don't forget to exclude when the bottom is 0

  7. Study23
    • 2 years ago
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    @bluepig148

  8. freckles
    • 2 years ago
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    This (a,b] means you don't include a but you do include b

  9. freckles
    • 2 years ago
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    And it also means you include everything between a and b

  10. freckles
    • 2 years ago
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    The bracket things means include the endpoint The parenthesis things means don't include endpoint

  11. Study23
    • 2 years ago
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    So how do you write the domain restrictions?

  12. freckles
    • 2 years ago
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    Well that is why I was asking you when is the bottom 0 and when is x-2>=0

  13. Study23
    • 2 years ago
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    Well, x can not equal 0, and x can not equal 2?

  14. freckles
    • 2 years ago
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    Well x can be 2 or greater than 2 since x-2>=0 implies x>=2 \[Domain=\{x \in \mathbb{R} | x \ge 2 \}\]

  15. freckles
    • 2 years ago
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    There are other ways to write the domain

  16. freckles
    • 2 years ago
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    \[x \in [2,\infty)\] I used [ instead of ( because I wanted to include 2

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