Answer:
x ≥ -7/3
Explanation:
The domain is the set of values that we are allowed to plug into our function. For this problem, not all x-values are allowed because you can't have the square root of a negative number. So, 3x+7 must always be greater than or equal to 0. Knowing this, let's find the domain.
0 ≤ 3x + 7 [Subtract 7 from both sides]
-7 ≤ 3x [Divide both sides by 3]
-7/3 ≤ x
So, our domain is x ≥ -7/3. We can confirm this by graphing the equation. When graphed, we can also see that x must be equal to or greater than -7/3.
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