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Find the intersection of two functions?

Posted 2 months ago
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i can not find the intersection of two functions. Intersections exist. You can see that when plotting the functions. Please help me. I have added a screenshot and the Notebook file.

Code:

Clear[k, x, y, \[Phi], f1, f2, f3]

f1 = k*(x/(x + 1))*(x/(x + \[Phi]));

f2 = (k*x*(E^-x))*(x/(x + \[Phi]));

f3 = x;

k = 1.35;

\[Phi] = 0.01;

Plot[{f1, f2, f3}, {x, 0, 1}, 
 PlotLegends -> {BevertonHolt Wachstum, Ricker Wachstum, 
   Winkelhalbierende}]

Solve[f1 == f3, x]

Solve[f2 == f3, x]
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For most equations where the variable appears both as an argument to a transcendental function and elsewhere in the equation are not solvable in closed form.

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Posted 2 months ago

thank you for your help. I try to understand your solution. I am a beginner.

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