# Inserting functions in a vector function

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Silvio on 6 Jul 2022
Commented: Silvio on 6 Jul 2022
Hello. I have a code with this kind of structure:
g=@(X) ... (complex operations with a function 'X')
f=@(x) x;
for n=1:N
f=@(x) g(f(x));
end
After updating the function's form but before going to the next step of the cicle, I would like to store the updated function in a vector which is still a function. That is, I would like to create something like this:
for n=1:N
f=@(x) g(f(x));
v(n)=@(x) f(x)
end
I know that the syntax above is not correct. I wonder if there is any method to do that kind of operation.

Torsten on 6 Jul 2022
Edited: Torsten on 6 Jul 2022
g = @(x) x.^2;
f = @(x) x.^4;
for i = 1:3
f = @(x) g(f(x));
v{i} = f;
end
x = 4;
v{1}(x)
ans = 65536
v{2}(x)
ans = 4.2950e+09
v{3}(x)
ans = 1.8447e+19
Silvio on 6 Jul 2022
Thank you very much!

R2021a

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