I have to put the following function into interval notation. $\displaystyle F(x)=3/(x+5)$ Would the correct answer be $\displaystyle Domain=(-\infty,\infty)$ $\displaystyle Range=(-\infty,-3]\cup[3,\infty)$
That's not quite right....
What happens to $\displaystyle F(x)$ if $\displaystyle x=-5$ is in the Domain?
Also, as x goes to $\displaystyle \pm\infty$, $\displaystyle F(x)$ goes to zero (but never equals zero!).
Can you take into account these two things and tell us what the domain and range should be?
The Domain is all the values of x that are valid for the equation. What values of x are NOT valid for this equation? When you figure that out, you will know what the Domain is. I'll give you a hint. Chris already told you.
Also, if you do ever have to write an interval like the one you did (which is not the right answer for this particular problem), it's customary to have the negative infinity come first, so it would look like :
$\displaystyle (-\infty,-3]\cup[3,\infty)$