[4 marks] Let g : R2 -> R2 be defined as follows, g(x, y) = (22 + 32, 2) . i) Evaluate the Jacobian of g at a generic point (x, y). ii) Does the function g have an inverse in the neighbourhood of the point (2, 1) = g(1, 1)? What about the point (1, 1) = g(1, 0)