Final answer:
The inverse function of f(x) = 3 is undefined.
Step-by-step explanation:
The inverse function of a constant function like f(x)=3 is not well-defined in the traditional sense because there is no one-to-one mapping between the x-values and y-values.
A constant function maps every input to the same output, which means the 'inverse' would have to map a single output back to all possible inputs, which is not possible in the framework of functions.
In the context of inverse operations, though, we do encounter examples such as addition and subtraction being inverses of each other, or multiplication and division.
Similarly, in more complex functions, the exponential function is the inverse of the natural log (ln), and vice versa. However, these examples rely on the functions having the necessary one-to-one relationship that allows for an inverse to exist.