SOLUTION: Please help me, I am having trouble finding the domain of these two equations f(x)= x+5/x+3 and f(x)=x^2-4/x^2-9

You can put this solution on YOUR website!
Domain tells us what x is allowed to be. Both of these functions are rational functions. X can be anything as long as it doesn't cause the denominators to =0.

x+3=0
x+3-3=0-3
x=-3
X can be anything except -3.
Set builder notation {x|x not= -3}
Interval notation (-infinity,-3)U(-3,infinity)
:

x^2-9=0
(x+3)(x-3)=0
x+3=0 and x-3=0
x=-3 and x=3
X can be anything except +\-3
set builder notation: {x|x not= +\-3}
interval notation (-infinity,-3)U(-3,3)U(3,infinity)
Happy Calculating!!!!