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Just look at the picture ​

Just look at the picture ​-example-1

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Answer:

domain: [-3, ∞)

range: [0, ∞)

(second option listed)

Explanation:

(note, domain is the maximum range of x-values, range is the maximum range of y-values)

we know that whatever is inside a square root cannot be negative, so (x + 3) must end up to be greater than or equal to 0

x + 3 ≥ 0

-3 -3

so, x ≥ -3

the lowest value of x (the domain) is theoretically -3 (which it includes), we write this as :

[-3, ∞)

[includes -3]

(cannot include infinity, but can go up to infinity)

note: g(x) is y

and we know that we cannot get a real-number square root of less than 0 (so y also must be greater than or equal to 0)

which we express as this:

[0, ∞)

[includes 0]

(cannot include infinity)

so, the

domain: [-3, ∞)

range: [0, ∞)

(second option listed)

hope this helps!!

User JMyles
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