Question 709576
{{{f(x)=sqrt( 3x-2)}}}

{{{f(x)=0}}} for {{{3x-2=0}}}...=>...{{{3x=2}}}...=>...{{{x=2/3}}}


so, the domain is:

*[tex \LARGE \left\{x\,\in\,\mathbb{R}\ :\ x\ \geq\2/3\right}]

and the range is: 

*[tex \LARGE \left\{y\,\in\,\mathbb{R}\ :\ y\ \geq\ 0\right}]