Domain of a Natural log of a quadratic function?

[Timcago]

Find the domain of the following function.

g(x)=ln(x^2-5x+6)

I don't even know how to start this one

 

[pka]

Just solve this inequality: \(\displaystyle \L
x^2 - 5x + 6 > 0\).

 

[Timcago]

I get

(x-2)(x-3)>0

x>2 and x>3

So what domain does that give me?

When i graph it, it looks like the domain is (-(infinity),2]U[3,+(infinity))

After solving it, my domain does not make sense.

 

[pka]

The domain is \(\displaystyle ( - \infty ,2) \cup (3,\infty )\).
Not it does not include either 2 or 3.