on what cases i get 0 denomiator

[transgalactic]

f(x)=\frac{1}{1+ln|x|}


the ln|x| part could be -1 when x=e^-1
correct??

[arildno]

Certainly!

Do you have any other solutions to the equation 1+ln|x|=0?

[transgalactic]

no
??

[arildno]

Well, if ln|x|=-1, what must |x| equal?

[transgalactic]

|x|=e^-1
x=-e^-1
x=e^-1

[tiny-tim]

f(x)=\frac{1}{1+ln|x|}


the ln|x| part could be -1 when x=e^-1
correct??

Yes. :smile:

[transgalactic]

thanks

[HallsofIvy]

But Arildno's point is that that is not the only value. As you said, the denominator is 0 for e^{-1} or -e^{-1}.