Wir sehen den Graphen einer Exponentialfunktion mit \color{red}{f(x) = a^x}.

Welche Farbe hat der Graph der Umkehrfunktion f^{-1}?

graphInit({ range: [[-5, 5],[-5, 5]], scale: [40,40], tickStep: [1,1], gridStep: [1,1], labelStep: [1,1], gridOpacity: 0.1, axisOpacity: 0.8, tickOpacity: 0.6, labelOpacity: 0.8 }); label( [ 0, 5 ], "f(x)", "above" ); label( [5, 0 ], "x", "right" ); style({stroke: "black", strokeWidth: 2}); plot(function(x) {return pow(base,-k*x);}, [-5, 5], {stroke: "green"}); plot(function(x) {return Math.log(x)/Math.log(pow(base,k));}, [0.00001, 5], {stroke: "orange"}); plot(function(x) {return Math.log(x)/Math.log(pow(base,-k*2));}, [0.00001, 5], {stroke: "blue"}); plot(function(x) {return pow(base,k*x);}, [-5, 5], {stroke: "red"});