Anonymous Functions in another anonymous function

I'm working with function handle and i want to generate a function by combining others functions like below:
f1 = @(x) x(1)/(1+x(2));
f2 = @(x) x(2)/(1+x(1));
f3 = @(x) f1 + f2
Of course it doesn't work, can somebody show me the way how to do it?
Many thanks!

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