MATLAB: Merging Function Handles -

i'm coding simulation in matlab , need in regards issue i've been having.

i'm working on problem have n separate anonymous function handles f_i, each of stored in cell array functions , accepts 1x1 numeric array x_i , returns 1x1 numeric array y_i.

i'm trying combine each of these anonymous function handles single anonymous function handle accepts single nx1 numeric array x , returns single nx1-numeric array y. here, x(i) = x_i, y(i) = y_i = f_i(x_i)

as example let n = 2 , f_1 , f_2 2 function handles input , output 1x1 arrays , stored in cell array named functions

f_1 = @(x_1) x_1^2  f_2 = @(x_2) x_2^3 functions = {f_1,f_2} 

i need code able use n, f_1 , f_2 construct function handle f inputs , outputs 2x1 numeric array.

f = @(x) [f_1(x(1,1));f_2(x(2,1))] 

it's difficult define such function using inline @()-anonymous syntax (because of limiting requirement on function's body expression). still it's possible define ordinary (non-anonymous) function runs on items of given vector , applies functions given cell array items.

function y = apply_funcs(f, x)     assert(length(f) == length(x));     y = x;     = 1 : length(f)         y(i) = feval(f{i}, x(i));     end  end 

and every time it's needed pass function other one, reference @-handle.

f = @apply_funcs