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

Examples

x{x}
y{y}
(1,4){\left(1 , -4 \right)}
(4,1){\left(-4 , 1 \right)}
y=f(x){y=f(x)}
y=f1(x){y=f^{-1}(x)}
y=x{y=x}
f:x7x+3for xR,x>1.{f: x \mapsto - 7 x + 3} \allowbreak \quad \allowbreak {\textrm{for } x \in \mathbb{R}, x > 1.}
f1:x17x+37for xR,x<4.{f^{-1}: x \mapsto - \frac{1}{7} x + \frac{3}{7}} \allowbreak \quad \allowbreak {\textrm{for } x \in \mathbb{R}, x < -4.}
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