Determine which of the following functions are injective, surjective, and bijective. If they are bijections write down their inverses.
(i) is a bijection (inverse function is )
(ii) is a bijection (inverse is )
(iii) is not injective, but is surjective.
(iv) is not bijective.
(v) is bijective (inverse is )
(vi) is bijective (inverse is same conditions with function as and )