Question

Find the domain of the function, part A & B
(Doing a review on domain).

Answer 1

\(\sqrt{3 -x}~\ge~0\) domain is not to be imaginary, solve the inequalities for the top and bottom. So no, that interval notation is incorrect.

Answer 2

Variables are not mutable, once assigned a value they will not change you must construct an interval notation that pleases both the top and bottom inequalities.

Answer 3

Drop what is after the union symbol. Remember you want \(x\) to be able to satisfy the top.

Answer 4

\[-x \ge -3\]
\[x \le 3\]

Answer 5

ah, yea dividing by a number will change the inequality sign. Forgot about that.