The given function is:

\[
f(x) = \frac{x}{x} + 4
\]

This can be simplified as follows:

1. The expression \(\frac{x}{x}\) simplifies to 1 (for \(x \neq 0\), as division by zero is undefined).

So, the function simplifies to:

\[
f(x) = 1 + 4 = 5
\]

Thus, the simplified form of the function is:

\[
f(x) = 5 \quad \text{for} \quad x \neq 0
\]

However, for \(x = 0\), \(\frac{0}{0}\) is undefined, so the function is not defined at \(x = 0\).

### Final Result:
\[
f(x) = 5 \quad \text{for} \quad x \neq 0
\]

Would you like more details on this or have any questions?

Here are 5 related questions:
1. How do you handle undefined points in a function?
2. What happens to the graph of \(f(x) = 5\)?
3. Can you define functions with restrictions for certain values of \(x\)?
4. What are the implications of having a constant function?
5. How do you determine the domain of a function like this?

**Tip**: Always check for points where a function might be undefined, such as division by zero.

Explore how to simplify the function f(x) = x / x + 4 and understand the implications of division by zero. This algebra problem teaches simplification techniques and the properties of constant functions. Suitable for students in Grades 9-11.

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