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

Examples

x{x}
y{y}
(1,0){\left(-1 , 0 \right)}
(0,1){\left(0 , -1 \right)}
y=f(x){y=f(x)}
y=f1(x){y=f^{-1}(x)}
y=x{y=x}
f:x8x8for xR,x<1.{f: x \mapsto - 8 x - 8} \allowbreak \quad \allowbreak {\textrm{for } x \in \mathbb{R}, x < -1.}
f1:x18x1for xR,x>0.{f^{-1}: x \mapsto - \frac{1}{8} x - 1} \allowbreak \quad \allowbreak {\textrm{for } x \in \mathbb{R}, x > 0.}
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