Question

What is the domain of f(x) = -(x-6)^2-30

Answer 1

Answer:

(-∞, ∞)

Step-by-step explanation:

To find the domain, we find how far along the x axis the line goes.

Specifically, we're looking for when x doesn't exist, because that's much easier.

So we're looking for when x is undefined. In order to have something undefined, you need the $\sqrt{-something}$, or $\frac{anything}{0}$.

As we can see, there's no part where x is undefined. Therefore, the domain is

(-∞, ∞)