The problem asks for the equation of $g(x)$ when the function $f(x)$ is shifted 5 units to the right. A horizontal shift to the right by $c$ units is represented by replacing $x$ with $x - c$ in the function's equation. Therefore, shifting $f(x)$ to the right by 5 units gives:

$g(x) = f(x - 5)$

Thus, the correct answer is:

$g(x) = f(x - 5)$

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you shift a function horizontally to the left?
2. What happens if you shift a function vertically instead of horizontally?
3. How do you apply a vertical shift to a function?
4. How do multiple transformations (e.g., horizontal and vertical shifts) affect the function?
5. What is the difference between horizontal and vertical stretching of a function?

Tip: Shifting functions horizontally involves changing the input (inside the function), while vertical shifts affect the output (outside the function).