Multiplying two functions in MATLAB

Question

I want the product of two functions $f(x),g(x)$

$$f(x) = x + \sin(x)\\ g(x) = x - \sin(x)$$

then

$$f(x)g(x) = x^2 - \sin^{2}(x)$$

How could I compute the product of two functions?.

I tried searching through Google which says to use inline or something like this

>> f = @(x) x - sin(x)
f =

@(x) x - sin (x)

>> g = @(x) x + sin(x) 
g =

@(x) x + sin (x)

>> h = @(x) f(x)*g(x)
h =

@(x) f (x) * g (x)

But could not get the product.

Also, will the syntax change if I give the functions as the arguments of another function say $fun$ and will require products of functions inside the function $fun$?

I am using MATLAB 2013a.

Answer 1

If you want a purely numerical result the MATLAB trick is to use a dot . like: f(x).*g(x) It takes care of pointwise multiplication for matrices.

If you want it symbolically you can use something like:

syms x
f = x + sin(x);
g = x - sin(x);
equ = simplify(f*g);