A-G,2,,454,7,8,93 Conider the folowing functions on A P32345789 2497813 P32 3456789 6985 2437 Find the permutation...
2. s each permutation as a product of disjoint cycles and find the orbits of each permutation. a. (1, 9,2,3X1,9,6, 5)X1,4, 8,7) b.21,2,9x3,4)(5, 6, 7,8,9)%4,9) d. (1, 4,2, 3, 5X1, 3, 4, 5) f(1,9,2,41,7,6,5, 9(1.2,3,8) h. (4,9, 6,7, 8)(2, 6.41.8 73 (2,3,71, 2x3,5,7,6,4X1,4)
Exercises xpress each permutation as a product of disjoint cycles and find the orbits of each permutation 331 1 1 2 3 4 5 b.
Suppose that the functions f and g are defined as follows. 5x +2 Find f+g and fg. Then, give their domains using interval notation. Domain of f+g Domain of fg
Let w e Sbe a permutation which rearranges 8 objects identified with letters, altering their positions to become as in the lower line of what follows: [A B C D E F G H (F DAEH C B G a) Express w as a product of disjoint cycles. Is w an even permutation, or an odd permutation? What is its order? b) Calculate wy, w and w-2 as products of disjoint cycles. c) Does there exist TE Sg for which...
Find two functions f and g, so that h(x)=4(x+7)3 -(x+7)2 be the composition of f and g.
The functions of f and g are given. Evaluate f o g and find the domain of the composite function f o g. Test: Unit Test #1-Algebra This Question: 1 pt The functions fand g are given. Evaluate fo g and find the domain of th 2 5 fx) x+1 900)-x ()(Simplify your answer.) The domain of f g is (Type your answer in interval notation.) Ente
2) a) Find the domain of the functions. h(x) = x2 – 5x b) Find the functions (a) fog, (b) go f,(c) f • f and their domains. 1. f(x) = 3x + 5, g(x) = x² + x 2) a) Find the domain 07 the functions. h(x) = 1/72 – 5x g(x) = - 1 g(x) = 1 – tan x b) Find the functions (a) fºg, (b) go f, (c)f of and their domains. . f(x) = sin...
Please answer #3 ... I have the answer for #2 already 2. Compute all Xg and all G for each of the following permutation groups. a. X {1,2, 3). Ģ S3 b. X-f1,2,3,4,5,6, G {(1), (12), (13), (23), (123), (132)) (1), (12), (345), (354), (12)(345), (12)(354) 3. Compute the G-equivalence classes of X for each of the G-sets in Exercise 13.4.2. For each z є X verify that G--Ozl . Gal. 2. Compute all Xg and all G for each...
Consider the functions fix)#2x + 7 and g(x)-2(x-7) (a) Find f(g/x)). (b) Find g(fx)) of each other O B. No values should be excluded from the domain (b) What is gtt(x)? Give any values of x that need to be excluded from g/f(x). Select the correct choice below and fil in any answer boxes within your choice (Use a comma to separate answers as needed) O B. No values should be excluded from the domair (c) Are the functions f...
Consider the following functions. f(-2) = 5 and g(-2) = -14 Step 4 of 4: Find (-2). Answer How to enter your answer -2) =