Question

Find the domain of f(x) =rmula1" title=" \frac{x}{ \sqrt{x - 1} } " alt=" \frac{x}{ \sqrt{x - 1} } " align="absmiddle" class="latex-formula">

Answer 1

$\dfrac{x}{\sqrt{x-1}}\\\\The\ domain:\\\\x-1 > 0\ \ \ |+1\\\\x > 1\to x\in(1,\ \infty)$