Respuesta :

CastleRook
To calculate the range of the given function we first need to calculate for the inverse of the function;
y=sqrt(x)-5
this can be written as:
y+5=sqrt(x)
From the above equation we can conclude that we can get the squaring of all values of x such that:
x≥-5
otherwise we won't get any square root since the square roots of negative numbers will complex numbers;
thus we conclude that the range of the function is {y∈R: y≥-5}
since -4 is included in this set, then our answer is option [A]
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Answer:

Option A

Step-by-step explanation:

If the number is under the square root, then it is a domain, not a range

if the number is outside of the square root, then it is a range

-4 is included in A because it is a -5, if it were a positive, then it wouldn't work

because there are no negatives included in a positive.

Hope this helps!!!

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