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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.

What is the domain of the function f(x) = 8 / (x + 3)?

Learn how to find the domain of the rational function f(x) = 8 / (x + 3). Understand the steps to determine where the function is undefined and explore key algebraic concepts. Suitable for high school students in Grades 9-12.

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