## anonymous one year ago Find the domain of the function: (I'll post it below)

1. anonymous

|dw:1432741356266:dw|

2. anonymous
3. anonymous

I know what is the definition of domain. I just need help in how to find it with the function that I posted.

4. anonymous

yes it has examples in the link

5. anonymous

well it doesn't give an example on how to find domain with 4th root functions

6. anonymous

@rational

7. rational

the stuff inside radical must be $$\ge 0$$

8. rational

$\large 4-x^4~\ge~ 0$ solve $$x$$

9. anonymous

oh okay. |dw:1432741753251:dw|

10. rational

$x^4~\le ~4$ $-\sqrt{2}\le x\le \sqrt{2}$

11. anonymous

the book says the answer is $$\sf [- \sqrt{2}, \sqrt{2}]$$ yes that will be right. But how did you get $$\sqrt{2}$$? Is 4th root of 4 sqrt of 2? how?