Problem 1
Determine whether each of the following functions is or is not \((a)\) injective, and \((b)\) surjective. \(f: \mathbb{R} \rightarrow(0, \infty)\), defined by \(f(x)=e^{x}\)
Problem 2
Each of the following functions \(f\) is bijective. Describe its inverse. \(f: \mathbb{R} \rightarrow(0, \infty)\), defined by \(f(x)=e^{x}\)