Question

the domain of the logarithmic function f(x)= Ln x is x>0. which statement is true about its cooresponding exponential function g(x)=e^x?

Answer 1

Because ln x and e^x are inverses, their domain and range swap. So for g(x) = e^x:
- domain: all real numbers (-∞, ∞)
- range: x > 0 (0, ∞)

Equivalently: the domain of g equals the range of f, and the range of g equals the domain of f.