The problem showed as below:

7. Consider the functions f : R R 2x oc2 + 1 and g : R\\{} R\\ {O} -> - x (a) Compute explicitly the function fog : R \\ {0} - R. (b) Is f injective? Justify your answer. (c) What is f-'({1/2})? f-'({2}) ? (d) Show that Range(f) = [-1, 1]. (e) Is f surjective