Function handle as input to the function handle

Question

Is it possible in Matlab to create function handle that will take as input another function handle and how?

e.g. I have h = @(x) x^2

I want to have h as parameter and get as output function that 4*x^2

function alpha = fun(h, type)

    x= sym('x',[8,1]);

    gamma = 16;
    alpha_ = gamma*h(x);
    alpha = matlabFunction(alpha_, 'vars', {x});
    
end

Is it possible to create something like that? I want to avoid creating alphas for multiple function handles.