SOLUTION: what is the domain of the function. f(x)=log10((x+2)/(x-3))

Question 864686: what is the domain of the function.
f(x)=log10((x+2)/(x-3))
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
we require that
(x+2)/(x-3) > 0

and we check 3 intervals:
x < -2 leads to
(-)/(-) => (+) True
-2 < x < 4 leads to
(+)/(-) => (-) False
x>3 leads to
(+)/(+) => (+) True
so the domain is
(-oo,-2)U(3,oo)
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