Umkehrfunktion geometrisch

Setzen Sie einen Punkt auf dem Graphen von K[sub]f[/sub]: [icon]/images/ggb/toolbar/mode_pointonobject.png[/icon][br]Konstruieren Sie den Graphen der Umkehrfunktion: [icon]/images/ggb/toolbar/mode_mirroratline.png[/icon]
[img]data:image/png;base64,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[/img][br]Markieren Sie die richtigen Aussagen
Was geschieht mit dem Definitionsbereich der ursprünglichen Funktion?[br][br][br]
Was geschieht mit dem Wertebereich der ursprünglichen Funktion?[br][br][br]
Sie sehen hier das Schaubild der Funktion g(x)=2x.[br]Bestimmen Sie die Funktionsgleichungder Umkehrfunktion und geben Sie diese ein
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Information: Umkehrfunktion geometrisch