The **value **of f(0) is f(0) = 3 and the **value **of f(-4) is f(-4) = 1

<h3>Determining the value of a function </h3>

From the question, we are to determine the **value **of the given **functions**

The **functions **are

f(0) and f(-4)

First, we will determine the **value **of f(0)

Since 0 ≥ -2, we will use the **function **

f(x) = x² + 2x + 3

Thus,

f(0) = (0)² + 2(0) + 3

f(0) = 0 + 0 + 3

f(0) = 3

Now, we will determine the **value **of f(-4)

Since -4 < -2, we will use the **function **

f(x) = x + 5

Thus,

f(-4) = -4 + 5

f(-4) = 1

Hence, f(0) = 3 and f(-4) = 1

Learn more on **Determining the value of a function **here: brainly.com/question/14379796

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