Question

What is the domain of the function yx4

Answer 1

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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