Show step by step working

Question 2 (9 marks) Consider the function 3 [ED=Gs I where D and C are subsets of R. (a) What is the maximal domain of f? Remember to show your working. (b) TIs f injective over its maximal domain? Justify your answer by either showing f satisfies the definition of injectivity, or providing a counterexample. (c) Determine the largest possible domain D over which f is invertible. If there are multiple options, list them, then choose D such that 0 D. (d) For the domain D found in (c), find the inverse of f and state its domain and range. (Assume the codomain C is such that f is bijective.)