Both questions are similar. Please anyone can help on these questions ? thank you

2. Let Z be the set of all non-negative, zero and positive integers, -4,-3, -2,-1, 0, 1, 2, 3, 4, Define the function by gx)x+2. (a) Is g one-to-one (a.k.a. injective)? Explain (b) Is g onto (a.k.a. surjective)? Explair (c) Is g a bijection? Explain 3. Let M be the set of all 2-by-2 matrices (2 rows, 2 columns) with real number entries, and let R be the set of all real numbers Define the function by h(x) trace ofx sum of the entries of x on the main diagonal. For example, for x h(x)3+6 9. h: MR 3 1 (a) Is h one-to-one (a.k.a. injective)? Explain. (b) Is h onto (a.k.a. surjective)? Explain (c) Is h a bijection? Explain