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Trigonometry Examples

y = \frac{2}{x - 5}

$y = \frac{2}{x - 5}$

Step 1

Set the denominator in

\frac{2}{x - 5}

$\frac{2}{x - 5}$ equal to

0

$0$ to find where the expression is undefined.

x - 5 = 0

$x - 5 = 0$

Step 2

Add

5

$5$ to both sides of the equation.

x = 5

$x = 5$

Step 3

The domain is all values of

x

$x$ that make the expression defined.

Interval Notation:

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

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

Set-Builder Notation:

{x | x \neq 5}

${x | x \neq 5}$

Step 4

Enter YOUR Problem

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$