Sketching the inverse of a logarithmic or an exponential function

Extension

Graph of f(x) and its inverse

Graph of \(f(x)\) and its inverse:

\(f(x) = {e^x}\)

\({f^{ - 1}}(x) = {\log _e}x\)

Graph of f(x) and its inverse

Graph of \(f(x)\) and its inverse:

\(f(x) = \frac{1}{2}x + 4\)

\({f^{ - 1}}(x) = 2x - 8\)

Two examples of inverse functions and their graphs