Question 243700
The domain of {{{f(x)=sqrt(x-3)}}} is <font size="8">[</font>*[Tex \LARGE 3,\infty]<font size="8">)</font> and the range is <font size="8">[</font>*[Tex \LARGE 0,\infty]<font size="8">)</font>. We can find out this information from the graph


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,sqrt(x-3))

)}}}

Graph of  {{{f(x)=sqrt(x-3)}}} 



To find the domain and range for the inverse, simply swap the domain and range from the original function f(x). 



So the domain of the inverse function is <font size="8">[</font>*[Tex \LARGE 0,\infty]<font size="8">)</font> and the range of the inverse function is  <font size="8">[</font>*[Tex \LARGE 3,\infty]<font size="8">)</font>. So the answer is B)