To find the inverse of the given function $g(x) = \log_6{x}$, follow these steps:

1. Start with the equation $y = \log_6{x}$.

2. To solve for the inverse, rewrite this in exponential form:
   $6^y = x$

3. Now, switch $x$ and $y$ to find the inverse function: $6^x = y$

Thus, the inverse function is $g^{-1}(x) = 6^x$.

The correct answer is:
$\boxed{6^x}$.

Would you like further details or explanations on this? Here are five questions that build upon this concept:

1. How do you find the inverse of a logarithmic function in general?
2. What is the relationship between logarithmic and exponential functions?
3. Can every logarithmic function have an inverse?
4. How do transformations affect the inverse of a logarithmic function?
5. How does the base of the logarithmic function influence the inverse?

Tip: When finding the inverse of a logarithmic function, remember that it always corresponds to an exponential function.