Finite Math Examples

$f (x) = | x + 2 |$ , $g (x) = - x^{2}$

Step 1

Replace the function designators with the actual functions in $f (x) + g (x)$ .

$| x + 2 | - x^{2}$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 3