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Find the domain of the function, part A & B (Doing a review on domain).
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\(\sqrt{3 -x}~\ge~0\) domain is not to be imaginary, solve the inequalities for the top and bottom. So no, that interval notation is incorrect.
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.
Drop what is after the union symbol. Remember you want \(x\) to be able to satisfy the top.
\[-x \ge -3\] \[x \le 3\]
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ah, yea dividing by a number will change the inequality sign. Forgot about that.
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