Sketching the inverse of a logarithmic or an exponential function
Extension
Graph of \(f(x)\) and its inverse:
\(f(x) = {e^x}\)
\({f^{ - 1}}(x) = {\log _e}x\)
Graph of \(f(x)\) and its inverse:
\(f(x) = \frac{1}{2}x + 4\)
\({f^{ - 1}}(x) = 2x - 8\)
Identifying and sketching related functionsInverse of a logarithmic or exponential function
The rules from graph translations are used to sketch the derived, inverse or other related functions. Complete the square to find turning points and find expression for composite functions.
Part of MathsAlgebraic and trigonometric skills