To find the domain of \( f + g \), you need to consider the domains of both \( f(x) \) and \( g(x) \) individually. The domain of \( f + g \) is the intersection of the domains of \( f \) and \( g \). This means the set of all \( x \)-values for which both \( f(x) \) and \( g(x) \) are defined.

### Steps:
1. Identify the domain of \( f(x) \).
2. Identify the domain of \( g(x) \).
3. The domain of \( f + g \) is the common values in both domains.

If either function has a restriction (e.g., due to a square root or division by zero), those restrictions will apply to the domain of \( f + g \).

Would you like to provide the functions \( f(x) \) and \( g(x) \), or would you like more examples on how to find the domain?

Here are 5 related questions to expand your understanding:
1. How do you find the domain of \( f - g \)?
2. What happens to the domain when adding or subtracting a constant to a function?
3. How do you find the domain of \( f \times g \)?
4. What is the domain of a quotient \( \frac{f}{g} \)?
5. How do you handle domain restrictions due to square roots or logarithms?

**Tip**: Always check for undefined values such as division by zero or negative numbers inside square roots when finding domains.

Learn how to find the domain of f + g by understanding the intersection of the domains of individual functions f(x) and g(x). This guide covers key concepts in functions and domain restrictions, suitable for students in Grades 9-12.

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