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

1. Study23 Group Title

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

2. Study23 Group Title

@FoolForMath

3. freckles Group Title

Well first of all when is the bottom 0?

4. lgbasallote Group Title

5. freckles Group Title

Then you will look at when x-2>=0 Since you can only have radical of a positive or neutral number

6. freckles Group Title

But don't forget to exclude when the bottom is 0

7. Study23 Group Title

@bluepig148

8. freckles Group Title

This (a,b] means you don't include a but you do include b

9. freckles Group Title

And it also means you include everything between a and b

10. freckles Group Title

The bracket things means include the endpoint The parenthesis things means don't include endpoint

11. Study23 Group Title

So how do you write the domain restrictions?

12. freckles Group Title

Well that is why I was asking you when is the bottom 0 and when is x-2>=0

13. Study23 Group Title

Well, x can not equal 0, and x can not equal 2?

14. freckles Group Title

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 Group Title

There are other ways to write the domain

16. freckles Group Title

$x \in [2,\infty)$ I used [ instead of ( because I wanted to include 2