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

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 +...

what is the truth value of the following

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...

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 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) ...

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...

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...

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

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...

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...

Given the information x1=1 and x2=2, and ∀ n≥2, xn+1=4xn-5xn-1, find explicitly the values of p,q which make xn=p(2+i)n+q(2+i)n for every n. I am really having...

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)...