## anonymous one year ago Find the x-intercept and y-intercept of the rational function: f(x) = -2/x^2 - 2x - 3

1. anonymous

$\frac{ -2 }{ z^2 - 2x - 3 }$

2. Nnesha

x-intercept is a point when line intersect x-axis when y=0 so substitute y f0r 0 to find x-intercept y-intercept is a point where line cross y-axis when x=0 so substitute x for 0 to find y-intercept

3. anonymous

|dw:1442273027252:dw|

4. anonymous

Do I subtract the -2?

5. Nnesha

noyou need to get rid of the denominator at left side

6. Nnesha

how would you cancel out (x-3)(x+1) ?

7. anonymous

You could multiply the whole fraction by (x-3)(x+1), they cancel out.

8. Nnesha

yes right so you so you will get -2=0 there isn't x variable so what does taht mean ?

9. anonymous

No x-intercept?

10. Nnesha

yes!

11. anonymous

I got that the first time! I thought I was wrong though. Thank you for your help!

12. Nnesha

aw good job!