The function that has the domain D: {x ≥ -11} is:
y = √(x + 11)
For a function f(x), we define the domain as the set of values that you can input in the function.
Now, if the domain is:
D: {x ≥ -11}
So, the minimum value that x can take is -11. Now, you can remember that a square root function can not be evaluated in negative values, then for the function:
y = √(x + 11).
The smallest value that x can take is x = -11, then we have:
y = √(-11 + 11) = √0 = 0.
So the domain of this function is D: {x ≥ -11}.
So we conclude that the correct option is:
y = √(x + 11)
If you want to learn more about domains:
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