Let f(x)=g(x), where g is a real polynomial function.
a. (i) If g(2)=−5, explain with reason whether f(2) is defined.
b. (ii) Give a logical justification for the statement: "The domain of f consists precisely of all real numbers x for which g(x)≥0."
c. (iii) Let g(x)=x2−4x+3. Determine the domain of f when this specific g is used, expressing your answer in interval notation.