How do you create a composite function in matlab?

If I have two functions, like

function a=func1(x)

and

function b=func2(q,p)

as examples. Is it possible to combine them to create a composite function like func1(func2(q)) = func1∘func2(q), and if so how do you do that?

[Jiya]

if f(x)= X+5 and g(x)= x^2-3 then find (fog)(x), (gof)(x)

[Torsten]

syms x
f(x) = ...;
g(x) = ...;
h1(x) = f(g(x))
h2(x) = g(f(x))

[Walter Roberson]

Note: MATLAB does not have any explicit function-composition operator . For example Maple would allow you to write func1@func2(q) but MATLAB does not have any support for such an operator.

MATLAB does allow you to define

func1_o_func2 = @(x) func1(func2(x))
fplot(func1_o_func2, [-5 5])   %for example

Answer 1

[Steven Lord]

f = @sin;
g = @cos;

% define it two different ways
fg = @(x) f(g(x));
h = @(x) sin(cos(x));

% Compare the two approaches
x = 0:0.1:2*pi;
max(abs(fg(x)-h(x)))

ans = 0

Or you could write a function file.

function y = myfun3(x)
y = func1(func2(x, 3)); % fixing p = 3
end