Inserting functions in a vector function

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.

Answer 1

[Torsten]

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]

Thank you very much!