Posted by Terri on Saturday, December 11, 2010 at 9:51am.
Find the domain for the function
f(x)=2x^(2)÷x^(2)6x27

PreCal  Reiny, Saturday, December 11, 2010 at 10:30am
I will assume you meant
f(x) = 2x^2 /(x^2  6x  27)
= 2x^2/(x^2 + 6x + 27)
Are you sure you typed the signs correctly?
It would be nice if the 27 had been +27, or the  in front of x^2 would not be there.
If it is correct,
since x^2 + 6x + 27 = 0 has no real roots, the domain would be the set of all real numbers.
if you meant:
f(x)= (2x^(2)÷x^(2))6x27 , then the domain is the set of real numbers except x ≠ 0
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