Respuesta :

[tex]f(x)= \frac{1}{ \sqrt{x+4} } [/tex]

Domain: 
[tex]\sqrt{x+4} \ne 0 \\ x+4 \ne 0 \\x \ne -4[/tex]

Range: [tex]\sqrt{x+4}\ \textgreater \ 0 \Rightarrow \frac{1}{\sqrt{x+4}} \ \textgreater \ 0 \Rightarrow y\ \textgreater \ 0[/tex]