I have a function that goes like this: $f(x)=\sqrt{x-6\sinh(\ln(x))}$. I have calculated the domain, and in the end, I get that x should be smaller or equal to $\pm\sqrt{3/2}$, but the soultion should be that is either smaller or equal than $-\sqrt{3/2}$, or bigger than 0 and smaller or equal to $+\sqrt{3/2}$. Why is that so?
Thanks for you help