## hba Question about functions : one year ago one year ago

1. Fox375

whats the question?

2. hba

Which of the following expresses the domain of $g(x)=\frac{ 3 }{ (x-2)(x+3) }$ A)$\left\{ x:x \neq 0 \right\}$ B)$\left\{ x:x \neq 2 \right\}$ C)$\left\{ x:x \neq -3 \right\}$

3. hba

@rajathsbhat

4. hba

@waterineyes ?

5. waterineyes

Firstly, denominator must not be 0..

6. waterineyes

$(x-2)(x+3) \ne 0$ Find x..

7. hba

So x=2,x=-3

8. waterineyes

This will have two correct choices... Not equal to man not equal to.. $$x \ne 2$$ and $$x \ne -3$$

9. hba

Yeah right ,What next @waterineyes

10. hba

so b and c cannot be the answer :)

11. waterineyes

Cannot?? Why??

12. hba

I mean can be the answer.

13. waterineyes

Yes but both...

14. hba

{x:x is not equal to 2 and x:x is not equal to 3} got it thanks :)