If F = (M, N, P) and all of the components of this field are polynomials in x, y, and z, then which ONE of these field operations is IMPOSSIBLE? (a) V (V · F) (b) F x (V × F) (с) F: (Vx F) (d) F· (V · F) (e) F· F

Needed to be solved this question hundred percent Correctly in the order to get positive feedback Please provide me neat and clean solution in the order to get positive feedback

Please review and solve the following problem. The screenshot listed already has some work done and the correct answer listed. Please solve the problem and include an explanation of how the work was solved. Also, Please make sure to double check the answer provided matches up with the screenshot and the work is properly formatted so I am able to follow along. Thanks :)

(20) Prove or give a counter example. Let f: A → B and g: B → C. If go f is invertible then (gof)-¹(x) = f-¹ og¯¹(x).