need help with this linear algebra question

(3) (The uncertainty principle).Let p(t) be a polynomial. Check that EMU) 7'5 WD- This means that the position and momentum operators do not commute! (4) (The Heisenberg relation). Now consider that the space of quantum states is the space F(R) of real functions. The position and momentum operators are defined as above. The commutator [q, ] of q and a is defined to be the linear transformation qx - 39 : F(R) - F(R). Use your knowledge of calculus to check that, for every function f: [q, x]f = f. This is another instance of the Heisenberg uncertainty principle