The domain of the function is [-4,∞).
Domain is the set of all the possible inputs for which the function is defined.
The given function is:
y = √x+4
It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.
x+4≥0
Subtract 4 from both the sides.
x+4-4 ≥ 0-4
x ≥ 4
The domain of the function is:
Domain = {xIx ≥ -4} = [-4,∞)
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