The question in the image is asking for the domain of the function $f(x) = \frac{8}{x + 3}$.

To determine the domain of this function, we must find the values of $x$ for which the function is defined. The function will be undefined where the denominator equals zero. So, we set the denominator to zero and solve for $x$:

$x + 3 = 0 \implies x = -3$

Thus, the function is undefined at $x = -3$. Therefore, the domain of the function is all real numbers except $x = -3$.

Correct Answer:

The domain is the set of real numbers except $-3$, which corresponds to option D: "مجموعة الأعداد الحقيقية ما عدا -3".

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Related Questions:

1. What is the range of the function $f(x) = \frac{8}{x + 3}$?
2. How do we find the domain of functions with square roots or logarithms?
3. What happens to the function's value as $x$ approaches $-3$ from the left and right?
4. Can the domain of a function ever be an empty set?
5. How does the domain change if we modify the function to $f(x) = \frac{8}{x^2 + 3}$?

Tip: Always check the denominator of a rational function to avoid undefined points when determining its domain.