State the domain of each of the following functions.

1. $f(x) =\large\frac { x - 2 } { x ^ { 2 } + 4 }$

   Hint (a):

   What values of $x$ would make $f(x)$ undefined or imaginary?

   More Help (a):

   When $x^² + 4 = 0$.

   Answer (a):

   $D = (−∞, ∞)$

2. $g(x) =\large\frac { \sqrt { x + 2 } } { x ^ { 2 } + x }$

   Hint (b):

   What values of $x$ would make $f(x)$ undefined or imaginary?

   More Help (b):

   When $x^² + x = 0$ and when $x + 2 < 0$.