Parametrization of a Function and Its Inverse
The function f is defined by f(x) = ln(x) for x > 0, and its inverse is f⁻¹(x) = e^x. Which of the following provides a correct parametrization for the graph of f and a correct parametrization for the graph of f⁻¹?
A
f: (t, ln(t)) for t > 0; f⁻¹: (ln(t), t) for t > 0
B
f: (ln(t), t) for t > 0; f⁻¹: (t, e^t) for all t
C
f: (t, ln(t)) for t > 0; f⁻¹: (e^t, t) for all t
D
f: (t, e^t) for all t; f⁻¹: (e^t, t) for all t
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