If x - 3 = 1, then what is the value of x² - 3x - 1?

Let's find x. This will allow us to find the value of the second expression.

x - 3 = 1

x = 4

Now, we can simply plug this x-value into the second expression to obtain 4^2 - 3 (4) - 1 = 3.

Thus, our answer is 3.