Calculus Examples

$f (x) = \frac{x^{2} + 3 x - 9}{x + 5}$

Step 1

Set the denominator in $\frac{x^{2} + 3 x - 9}{x + 5}$ equal to $0$ to find where the expression is undefined.

$x + 5 = 0$

Step 2

Subtract $5$ from both sides of the equation.

$x = - 5$

Step 3

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

Interval Notation:

$(- \infty, - 5) \cup (- 5, \infty)$

Set-Builder Notation:

${x | x \neq - 5}$

Step 4