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

1 Answer
May 28, 2016

The domain of this function is: #RR#

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 #RR#.