Editing Inverse function (section)

===Graph of the inverse===
[[Image:Inverse Function Graph.png|thumb|right|The graphs of {{math|1= ''y'' = ''f''(''x'') }} and {{math|1= ''y'' = ''f''<sup> −1</sup>(''x'')}}. The dotted line is {{math|1= ''y'' = ''x''}}.]]
If  {{mvar|f}} is invertible, then the graph of the function

: <math>y = f^{-1}(x)</math>

is the same as the graph of the equation

: <math>x = f(y) .</math>

This is identical to the equation {{math|1= ''y'' = ''f''(''x'')}} that defines the graph of {{mvar|f}}, except that the roles of {{mvar|x}} and {{mvar|y}} have been reversed. Thus the graph of {{math|''f''<sup> −1</sup>}} can be obtained from the graph of {{mvar|f}} by switching the positions of the {{mvar|x}} and {{mvar|y}} axes. This is equivalent to [[Reflection (mathematics)|reflecting]] the graph across the line
{{math|1= ''y'' = ''x''}}.<ref>{{harvnb|Briggs|Cochran|2011|loc=pp. 28–29}}</ref><ref name=":2" />