You can
put this solution on YOUR website!f(x)=1/x^2-9
To find the domain, you would have to find [what x can be without making the denominator zero]. So set the denominator, x^2-9, equal to zero:
x^2-9=0
Now factor out the left side.
(x-3)(x+3)=0
Now take each expression separately and set them equal to zero and solve.
x-3=0
x=3
x+3=0
x=-3
So to make the denominator zero, x would have to be 3 or -3. So to get the domain, "what x can be without making the denominator zero", you would say anything but these two values. In other words:
x is not 3 or -3.
Do you follow?
I hope this helped!
-Alani
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