$[$ UCONN $1071$Q$]$ What is the domain of $f(x)=\frac{\sqrt[\phantom{2}]{x-1}}{x-7}$

$($A$)(-,1)(1,)$

$($B$)[1,)$

$($C$)[1,7)(7,)$

$($D$)[7,)$

$($E$)[1,7)$