Finite Math Examples

$f (x) = x - 3$ , $g (x) = \frac{1}{x}$

Step 1

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

$x - 3 + \frac{1}{x}$

Step 2

Set the denominator in $\frac{1}{x}$ equal to $0$ to find where the expression is undefined.

$x = 0$

Step 3

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$(- \infty, 0) \cup (0, \infty)$

Set-Builder Notation:

${x | x \neq 0}$

Step 4