The function f(x) = ln(x) has a domain of all real numbers greater than zero and a range of all real numbers. The inverse of this function is f–1(x) = ex. Which conclusion can be drawn by comparing the two functions?

An inverse function swaps the original function’s domain and range. Since f(x) = ln(x) has domain all positive real numbers and range all real numbers, f⁻¹(x) = eˣ has domain all real numbers and range all positive real numbers. Therefore, choice C is correct.

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