Question

Can someone answer this pls

Answer 1

Answer:

Domain is $x \ge d$

You'll check the box labeled "x", the box labeled $\ge$ 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 $\sqrt{-4}$ isn't a real number.

That means we need to have the "x-d" under the square root to be 0 or larger.

$x-d \ge 0\\\\x-d+d \ge 0+d\\\\x \ge d$

The domain is $x \ge d$ 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 $\ge$ and the box labeled "d" as shown below.