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State the Domain and Range of LaTeX: f\left(x\right)=\left(x+5\right)^2f ( x ) = ( x + 5 ) 2. Group of answer choices Domain: All Real Numbers Range: LaTeX: y\ge0 y ≥ 0 y ≥ 0 Domain: LaTeX: x\ge0 x ≥ 0 x ≥ 0 Range: All Real Numbers Domain: All Real Numbers Range: All Real Numbers Domain: All Real Numbers Range: LaTeX: y\ge5

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abidemiokin

Answer:

DOMAIN: (-∞, ∞)

RANGE: y≥0

Step-by-step explanation:

Given the function

f(x) = (x+5)²

Domain of any function are all the value if the input variable that will make the function f(x) exist. From the function given, we can see that it is a perfect square, this means that the function will exist for any value of the input variable x on the number line.

The domain of the function is expressed according to the set notation.

(-∞, ∞)

Hence the correct answer for the domain is all real numbers

The range of the function is the range of the output value f(x) for all the value in the domain. Since the function is a perfect square, this means that the output will only return a positive values including zero for all values in the domain. Hence the range of function will be f(x)≥0

Let y = f(x), hence the range is expressed as y≥0

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