The logarithmic function \( f(x) = \ln x \) has a domain of \( x > 0 \), which means it is defined only for positive values of \( x \). The corresponding exponential function is \( g(x) = e^x \).
For the exponential function \( g(x) = e^x \):
- Domain: The exponential function is defined for all real numbers, so it's domain is \( x \in (-\infty, \infty) \).
- Range: The output of \( e^x \) is always positive, hence the range is \( y > 0 \).
Considering the given statements, the true statement about the exponential function \( g(x) = e^x \) is:
Function g(x) has a range of y > 0.