What is the domain of $f(x)=x^x$?
34924
What is the domain of $x^x$ as a real valued function?
47474
Proving $|f(z)|$ is constant on the boundary of a domain implies $f$ is a constant function
85529
When is $F(x)=x^a\sin(x^{-b})$ with $F(0)=0$ of bounded variation on $[0,1]$?
8676
Is there any "superlogarithm" or something to solve $x^x$?
34940
Continuity of $f(x) = x^n$
142725
The general solution of $x^a = a^x$ for real $a >0$
26677
thoughts about $f(f(x))=e^x$
17859
Showing $F[x,y]/(ax^2+by^2-1)$ is a Dedekind domain
56712
How can I find the domain and derivative of the function?
75764
Regularity of a domain - definition
76610
Show that $f^{-1}(A \cup B) = f^{-1}(A) \cup f^{-1}(B)$
4196
A valid proof for the invariance of domain theorem?
118314
How to define $x^a$ for arbitrary real numbers $x$ and $a$
72769
How find this function $xf(x^2)=f(x),x>0$
102914
Integral domain that is not a factorization domain
90533
Show that if $p(x)$ is reducible in $F[x]$, then $F[x]/(p(x))$ is not an integral domain.
132093
Solve $f(f(x))=f(x)$