Please show work

By-hand problem Show that Simpson's rule is a linear operator. That is, let S(f (x) ) represent one application of Simpson's rule to the function f(x) in or- der to approximate the integral fo f(x)dx,, i.e., b - a f(x)dx ~ S(f(x)) = 6 (f ( a) + 4f( (a + 6) / 2) + f (b ) ). Show that S(.) is a linear operator, i.e., that S(af(x) + Bg(x)) = as(f(x)) + BS(g(x)), for functions f(x) and g(x) and scalars o and B