Question

What is the domain and range for the function below? 1/square root x+4

Answer 1

$f(x)= \frac{1}{ \sqrt{x+4} }$

Domain: 
$\sqrt{x+4} \ne 0 \\ x+4 \ne 0 \\x \ne -4$

Range: $\sqrt{x+4}\ \textgreater \ 0 \Rightarrow \frac{1}{\sqrt{x+4}} \ \textgreater \ 0 \Rightarrow y\ \textgreater \ 0$