## That's correct, Roger! Exponents can indeed assume any real values, which means that the domain of the function e^(3x+4) is (-infinity, infinity), as you mentioned. However, you brought up a good point about fractional exponents.

When dealing with fractional exponents, we have to be careful because certain values may not be defined. For example, in the function e^(1/(x-1)), the exponent has a fraction with a denominator of (x-1). In this case, the exponent is defined as long as (x-1) is not equal to zero. So we need to exclude the value x = 1 from the domain of the function.

In summary, most exponential functions have a domain of (-infinity, infinity), but when dealing with fractional exponents or expressions in the exponent, we need to consider any restrictions or exclusions that might arise.