The graphs of ff and f1f^{-1} are symmetrical about the line y=x.y=x.

Examples

x{x}
y{y}
(1,1){\left(-1 , -1 \right)}
y=f(x){y=f(x)}
y=f1(x){y=f^{-1}(x)}
y=x{y=x}
f:x4x5for xR,x1.{f: x \mapsto - 4 x - 5} \allowbreak \quad \allowbreak {\textrm{for } x \in \mathbb{R}, x \leq -1.}
f1:x14x54for xR,x1.{f^{-1}: x \mapsto - \frac{1}{4} x - \frac{5}{4}} \allowbreak \quad \allowbreak {\textrm{for } x \in \mathbb{R}, x \geq -1.}
Next: Composite functions >>