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Study23
 2 years ago
How would you notate the Domain restrictions of the following function?
Study23
 2 years ago
How would you notate the Domain restrictions of the following function?

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Study23
 2 years ago
Best ResponseYou've already chosen the best response.0\(\ \huge f(x)=\frac{\sqrt{x2}}{x} \). D: ?. Also, what is the difference between the \(\ \huge [ \) and the \(\ \huge ( \) sign when writing the restrictions?

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1Well first of all when is the bottom 0?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0@rebeccaskell94 help

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1Then you will look at when x2>=0 Since you can only have radical of a positive or neutral number

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1But don't forget to exclude when the bottom is 0

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1This (a,b] means you don't include a but you do include b

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1And it also means you include everything between a and b

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1The bracket things means include the endpoint The parenthesis things means don't include endpoint

Study23
 2 years ago
Best ResponseYou've already chosen the best response.0So how do you write the domain restrictions?

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1Well that is why I was asking you when is the bottom 0 and when is x2>=0

Study23
 2 years ago
Best ResponseYou've already chosen the best response.0Well, x can not equal 0, and x can not equal 2?

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1Well x can be 2 or greater than 2 since x2>=0 implies x>=2 \[Domain=\{x \in \mathbb{R}  x \ge 2 \}\]

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1There are other ways to write the domain

freckles
 2 years ago
Best ResponseYou've already chosen the best response.1\[x \in [2,\infty)\] I used [ instead of ( because I wanted to include 2
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