What is the domain of 1 / (2x - 6)?

Aug 27, 2017

domain={x|x≠3}

Explanation:

With rational functions, you cannot divide by 0. In order to find the domain, you have to set your denominator equal to 0. The values you obtain are excluded from the domain. Let's set the denominator to 0 and solve for the excluded values.

$2 x - 6 = 0 \to$

$2 x = 6 \to$

$x = 3$

So, x≠3 for the domain of this function.