Answer:
[tex]x\geq 0[/tex]
Step-by-step explanation:
The domain of a function [tex]f(x)[/tex] is all [tex]x[/tex] value for which the function is defined.
In [tex]f(x)=\sqrt{6x}[/tex] we have to choose our values of [tex]x[/tex] such that the square root is not negative because then [tex]f(x)[/tex] will be a complex number; therefore for [tex]x\geq 0[/tex], [tex]f(x)[/tex] is defined and so [tex]x\geq 0[/tex] is he domain of the function.