Find the Domain y=6/(x-10)

$y = \frac{6}{x - 10}$

Step 1

Set the denominator in $\frac{6}{x - 10}$ equal to $0$ to find where the expression is undefined.

$x - 10 = 0$

Step 2

Add $10$ to both sides of the equation.

$x = 10$

Step 3

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

Interval Notation:

$(- \infty, 10) \cup (10, \infty)$

Set-Builder Notation:

${x | x \neq 10}$

Step 4