Question

How do you find the domain of `F(x) = -2(x + 3)^2 - 5`?

Answer 1

This is a polynomical function, so, its domain will be all the real domain.

Explanation:

A polynomical function has as domain all the real line because it has no discontinuity points. There are no points whose image is `infty`.
In you case you have a polynomical function of second degree, a parabola, so, its domain is the full real line.