Find an example of a set A and functions f :A→A and g:A→A such that f◦g=idA but g ◦ f does not equal idA. I am not sure what idA means or an example for this

Find an example of a set A and functions f :A→A and g:A→A such that f◦g=idA but g ◦ f does not equal idA. I am not sure what idA means or an example for this

what is the truth value of the following

1. How many different positive integers can be made from the digits {2, 4, 6, 8} if repetitions are allowed? 2. What is the telescoping form of f(x) = x4 + 7x3 - x2 + 2x +...

I need to express my result as a polynomial, we were given formulas which states the answers however I cannot find the formulas for these last 2 A) C(n+2,n) C) C(C(n,k),(n¦(n-k)))...

The Fibonacci sequence F0, F1, F2, F3, ... is an infinite sequence defined by the two initial values F0 =0, F1 =1, and the rule Fk = Fk-2 + Fk-1 for all k ≥ 2. Let Μ...

The number of 5 card hands in a game of poker that can contain 3 queens is

Fact. The angle sum of a convex polygon with n vertices is (n-2)180°. Proof (By Strong Mathematical Induction). Base Step. n =........................ The statement P(3)...

I have 4 spaces (a,b,c,d) which can have values from 0-5 A number may be used more than once The quadruples may not add up to 0,10, or 20 (such as 5,5,5,5 or 0,6,3,1) I'm...

Goal: The goal is to use compound interest formulas to investigate and compare savings situations while using your writing skills to clearly communicate the solution. Role: You are...

Hi I have 2 problems that I need to say whether or not they are true or not and then write a proof for my answer. I am really struggling and could use a little help thank you 1) ...

The diagram below shows a directed graph: http://imgur.com/a/fxqVD (a) Is <d, b, c, g, c, f, e, c, d> a circuit in the graph? Is it a cycle? (b) What is the longest cycle in the...

Let A, B and C be different sets containing letters of the alphabet. Explain why there must exist some letter that is either contained in exactly one of the sets or contained in exactly two...

I would like to know if I did this work correctly http://imgur.com/a/duDPT Picture of the work above My original set : = {0,1,4,6,8} I am...

There are 57 students in a class, how many different ways can you make a group of 5?

prove it if it is correct or give counterexample if it is false let d=(a,b) then a|bc if and only if a/d is a divisor of c

Can anyone tell me if: F(n) = 3n^2 + 1 is one-to-one or onto? I'm pretty sure it's neither because n^2 itself isn't onto, but I need second opinions...

Here are four relations defined on R, the set of real numbers: R1 = { (x, y): x ≤ y } R2 = { (x, y): x > y } R3 = { (x, y): x < y } R4 = { (x, y): x = y } Describe...

let 〈xn〉n=1...∞ be a sequence satisfying xn+1=xn-xn-1 for each n. Prove that xn+6=xn for all n belonging to N using the below formula xn=p((1+i(sqrt3))/2)n+q((1-i(sqrt3))/2)n p...

f(x) = -(x - 1) g(x) = 2x2 h(x) = 3x + 1 a. What is (f ο g)(-2)? b. What is (g ο f)(-2)? c. What is (f ο h)-1(3)? d. What is (f ο g ο h)(1)? e. What is (h ο h-1)(π)...

http://imgur.com/iHVu1J7 I understand how to draw a HsDgrm(R) but not the first part of the question which is the proof

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