can i get correct answers, please.

Answer all the questions below for your SOB to be observed. You will be asked to explain them verbally. 1. Give an example of a function whose inverse is also a function Explain your answer. 2. Consider f(x)=x? defined asf R- R. Isf one-to-one? Is it onto? 3. Let f(x) = x2 and g(x) = x +2 wheref.g R-R. Compute (of)(x). (fog)(x) (90f)(x). 4. Give an example of a function that is one-to-one but not onto. Give an example of a function that is not one-to-one but onto. 5. Why is (fog)-1=9-10f-? Explain your answer, show mathematical reasoning Answer all the questions below for your SOB to be observed. You will be asked to explain them verbally. 1. Consider the empty relation. Is it reflexive? Symmetric? Transitive? Explain your reasoning, 2. Consider the greater than or equal to" relation > defined homogeneously on natural numbers. Is it reflexive? Symmetric? Transitive? Is it an equivalence relation? What is its inverse? 3. Give an example of a relation homogeneously defined on natural numbers which is many-to-one, one-to-many, but not one-to-one. Draw its diagram. 4. Give an example of a relation that is symmetric, transitive but not reflexive. Explain your reasoning. 5. Give an example of a relation that is neither reflexive nor irreflexive. Explain your reasoning