Suppose that the functions $f$ and $g$ are defined as follows.

$f(x)=\sqrt[\phantom{2}]{x+5}$

$g(x)=\frac{1}{5x^2+3}$

Find $f+g$ and $fg.$ Then, give their domains using interval notation.

$(f+g)(x)=$prod

Domain of $f+g$ :

$f(*g)(x)=$

Domain of $f$:$g$: