Let
g(x)=x2−9x−2,x∈R.
(i) Find the set of all real numbers for which g(x) is defined.
(ii) Identify every point in that set where g is not continuous.
(iii) Express, in interval notation, the complete set on which g is continuous.
(iv) Classify the discontinuity at each point found in part (ii) as removable, jump, or infinite, giving a brief reason.