Answer
Domain: $x\leq2$
Work Step by Step
Domain is all input values or $x$-values of the function.
The given function is:
$$f(x)=\sqrt{6-3x}$$
It is a square root function and is defined for all $x$ values where radicand is non-negative:
$$6-3x\geq0$$
$$-3x\geq-6$$
$$x\leq2$$