Question 62548
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.
{{{f(x)=(x+5)/(x+3)}}}
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)
:
{{{f(x)=(x^2-4)/(x^2-9)}}}
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!!!!