For the functions [math]f(x) = x[/math] and [math]g(x) = \cos x[/math], find the product [math](f • g)(x)[/math]. Verify both algebraically and graphically that [math](f • g)(x)[/math] and [math]f(x) • g(x)[/math] yield the same result. Use [math]x = \pi[/math] as a test value.
