Question

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

Answer 1

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`.