Find the Domain and Range of the Function $h ( x , y ) = \sqrt { 2 x - 9 y }$

Multiple Choice

Find the domain and range of the function $h ( x , y ) = \sqrt { 2 x - 9 y }$ .

A)
$D = \left\{ ( x , y ) \mid y \geq \frac { 9 } { 2 } x \right\}$
$R = \{ z \mid 0 < z \}$
B)
$\begin{array} { l } D = \left\{ ( x , y ) \mid y \leq \frac { 2 } { 9 } x \right\} \\R = \{ z \mid 0 < z \}\end{array}$
C)
$\begin{array} { l } D = \left\{ ( x , y ) \mid y \leq \frac { 2 } { 9 } x \right\} \\R = \{ z \mid 0 \leq z \}\end{array}$
D)
$\begin{array} { l } D = \left\{ ( x , y ) \mid y \geq \frac { 9 } { 2 } x \right\} \\R = \{ z \mid 0 \leq z \}\end{array}$