please help me!

Problem 1: Let X = {1,2}. List each relation R on the set X and specify whether the relation is reflexive, symmetric, antisymmetric, and/or transitive. Specify if a particular relation happens to be an equivalence rela- tion and/or a partial order. Problem 2a: Let f:X Y,g:Y Z. Prove that 1. If f and g are both 1 1, that go f is 1 1. 2. If f and g are both onto, that g o f is onto. Problem 2b: Let f:X - Y,g:Y - Z. Prove that 1. If go f is onto that g is onto. 2. Ifgo fis11 that f is 11. Problem 3: Determine which of the following functions has a left in- verse, and which have a right inverse. You do not need to provide proofs nor find such inverses, but should give some supporting reasoning for each of your answers: 1. fi : [0,1] R given by f,() = e'. 2. fo: X +R where X = {[a,b] : a