# How do you find the domain of y = 2(x-3)² - 1 ?

May 28, 2016

The domain of this function is: $\mathbb{R}$

#### Explanation:

To find the domain of a function you have to check if there are any values, of variable $x$ for which the formula has no value. Such points can be:

1. Values for which denominator is zero,

2. Values for which expression under a square root sign is negative,

3. Values for which expression under $\log$ sign is less than zero.

This formula does not contain any limitations like those above, so all values of $x$ are possible. The domain is the whole real numbers set $\mathbb{R}$.