Domain = { x | x > -5}
Because the denominator can not be equal to 0.
[tex] \sqrt{x+5} > 0
[/tex]
[tex]x+5 >0[/tex]
[tex]x>-5[/tex]
Range = { y | y > 0 }
[tex] \sqrt{x+5} = \frac{3}{y}[/tex]
[tex]x + 5 = \frac{9}{ y^{2}} [/tex]
[tex]x = \frac{9}{ y^{2}} - 5[/tex]
* y>0 NOT y≥0 because the equation is undefined if y = 0