Construct a single anonymous function from a cell array of anonymous functions

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I want to run a double loop that creates an anonymous function

h

consisting of the cell array of anonymous functions f . I can do it long-hand, the way that I constructed

g

but that's obviously hopelessly inefficient when f has a large size. I presume I need to use arrayfun but the examples that matlab provides don't help me. Thanks for any suggestions.

Here's my example for how I constructed g.

function nothing
syms a b c d 
f{1,1}= @(a,b,c,d) a;
f{1,2}= @(a,b,c,d) b;
f{2,1}= @(a,b,c,d) c;
f{2,2}= @(a,b,c,d) d;
g	  = @(a,b,c,d)[ f{1,1}(a,b,c,d),f{1,2}(a,b,c,d);f{2,1}(a,b,c,d),f{2,2}(a,b,c,d)];
g(1,2,3,4) 
keyboard;