Answer:
Domain is [tex]x \ge d[/tex]
You'll check the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d". So you'll have 3 boxes checked.
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Explanation:
We cannot have a negative number under the square root, and get some real number output. For example, the result of [tex]\sqrt{-4}[/tex] isn't a real number.
That means we need to have the "x-d" under the square root to be 0 or larger.
[tex]x-d \ge 0\\\\x-d+d \ge 0+d\\\\x \ge d[/tex]
The domain is [tex]x \ge d[/tex] telling us that x = d is the smallest x value we can plug in
So that's why we check off the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d" as shown below.
