[color=#999999][color=#999999]This activity belongs to the [i]GeoGebra book[/i] [url=https://www.geogebra.org/m/dm9prd7h]Attractive projects.[/url][/color][/color][br][br]If we redefine a function f (x) as O + t [b]i[/b] + f (t) [b]j[/b], where {O, i, j} constitutes the referential system, it is enough to [b]permutate [/b]the vectors [b]i[/b] and [b]j[/b] to obtain the graph of the inverse function (whose domain may need to be restricted, depending on the case, to effectively be a function).

It is also much easier to manipulate geometric objects such as ellipse if we define them vectorially on a relative referential system. In fact, this is what the GeoGebra program does (see the previous PDF on Automatic Animations).

[color=#999999]Author of the construction of GeoGebra: [color=#999999][url=https://www.geogebra.org/u/rafael]Rafael Losada[/url][/color][/color]