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Study23

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

  • one year ago
  • one year ago

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  1. Study23
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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?

    • one year ago
  2. Study23
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    @FoolForMath

    • one year ago
  3. freckles
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    Well first of all when is the bottom 0?

    • one year ago
  4. lgbasallote
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    @rebeccaskell94 help

    • one year ago
  5. freckles
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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

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

    • one year ago
  7. Study23
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    @bluepig148

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

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

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

    • one year ago
  11. Study23
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    So how do you write the domain restrictions?

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

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

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

    • one year ago
  15. freckles
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    There are other ways to write the domain

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

    • one year ago
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