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.