## anonymous one year ago Simplify and identify the domain.

1. anonymous

|dw:1433113440490:dw|

2. anonymous

@pooja195

3. anonymous

$4x+8\neq 0,x \neq-2$ $x^2-9\neq0,x \neq \pm3$ Except these values all other real values of x are in domain.

4. anonymous

@surjithayer sorry i was having computer problems!

5. anonymous

@mathmate @geerky42

6. mathmate

To explain @surjithayer 's response, the domain of a rational function (function with polynomials in fractions) is all real except when the denominator becomes zero.

7. anonymous

so what is the next step to simplify the fraction? @mathmate

8. mathmate

Factor all expressions. Cancel common factors if applicable with condition (x$$\ne$$-3, etc.

9. anonymous

do you think you can show me on the drawing tool, i understand better!!

10. anonymous

@mathmate

11. mathmate

I can give you an example, but bear with me for speed. $$f(x)=\frac{x+1}{x^2-1}$$ Factor: $$f(x)=\frac{x+1}{(x+1)(x-1)}$$

12. mathmate

Cancel with condition that x$$\ne$$-1 $$f(x)=\frac{1}{(x-1)}$$

13. mathmate

The domain is x$$\ne$$-1,1 (because of the original function)

14. anonymous

okay!

15. anonymous

we can cancel a and c?

16. anonymous

@mathmate

17. anonymous

@ganeshie8

18. anonymous

are you there? @mathmate

19. mathmate

what's a and c?