osanseviero Group Title I need to find the natural domain of: 9 months ago 9 months ago

1. osanseviero Group Title

$\frac{ x }{ \sqrt{-x ^{2}-x+2} }$ Can someone see if it is this?: |dw:1382585115287:dw|

2. osanseviero Group Title

I think I am wrong :/

3. Easyaspi314 Group Title

Domain is -2 < x < 1.

4. osanseviero Group Title

shouldnt -2 and 1 be included?

5. Easyaspi314 Group Title

You want to make sure that what is in the square root, namely -x^2 - x + 2 > 0. Solving that quadratic inequality, yields -2 < x < 1.

6. Easyaspi314 Group Title

NO! when x = -2 and x = 1, the denominator will equal 0, wjich is undefined!

7. osanseviero Group Title

Right! just noticed that! thanks

8. Easyaspi314 Group Title

welcome.

9. osanseviero Group Title

:)

10. Easyaspi314 Group Title

practice solving -x^2 - x + 2 > 0

11. Easyaspi314 Group Title

to makes ure you get -2 < x < 1

12. Easyaspi314 Group Title

sure*

13. osanseviero Group Title

Just did it, thanks :)

14. Easyaspi314 Group Title

cool.