# Math Help - f(x)=x*ln(x-2)

1. ## f(x)=x*ln(x-2)

Find the intersection points with the axis of following function:

$f(x)=xln(x-2)$

Notice please that the roots are $0$ and $3$

BUT the function is not defined there!

What is the explanation for that?

2. the domain is x>2, so 3 is ok.

3. Ok! I've got it...(My foolish mistake!!!)

Sorry, and thank you!

4. What makes you believe that x is a root?

(If it were f(x)= xln|x-3| then the roots would be x= 3 and x= 0.)

5. Originally Posted by HallsofIvy
What makes you believe that x is a root?

(If it were f(x)= xln|x-3|(you mean xln|x-2|?then the roots would be x= 3 and x= 0.)