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4) [4 marks] Let f be the element of Se defined as follows: f(1) = 3,...
Question 9 (6 points) (2,4, 3) and g (1, 5, 2) are permutations defined on S -(1, 2, 3, 4, 5), What is a) (fog)(4) [What is the result of applying fo g to 4] (gof)(5) [What is the result of applying g e f to 5] b)
9. La ste) defined as follows 9. Let f(x) defined as follows: f(x) = 0 if x < -1 = 2(x + 1)/27 if - 1<x<2 = 2/9 if 2 < x < 5 = 0 otherwise. Find F(u) = f(x)dx, where u E R.
We specific example of two functions that are defined by different rules for formulas) but that are equal as 2. Consider the functions /(x) = x and g(x) = Vr. Find: (a) A value for which these functions are equal. (b) A value for which these functions are not equal. 3. Let A = {1,2,3,4), B = {a,b,c,d,e), and C = {5, 6, 7, 8, 9, 10). Let S : A +B be defined via ((1.d).(2.b), (3, e), (4.a) Let...
Q-4. [8+3+3+3+3 marks] Let be the partial order relation defined on , where means. a) Draw the Hasse diagram for . b) Find all maximal and minimal elements. c) Find lub({6,12}). a) Find glb({6,12}). e) What is the least element? The greatest element? Q-4. [8+3+3+3+3 marks] Let R be the partial order relation defined on A = {2,3, 6, 9, 10, 12, 14, 18, 20}, where xRy means x|y. a) Draw the Hasse diagram for R. b) Find all maximal...
2. let f(x) = 2x-5 and g(x) = x² +3. Find each of the following. (8 pts) - (3) a) b) (g-fcio c) (gof)(0) 2) (fog)x)
Two functions g and f are defined in the figure below. 8 2 3 5 6 6 9 9 9 Domain of g Range of g Domain of / Range of Find the domain and range of the composition fog. Write your answers in set notation. Domain of fog : Range of fog : 0 X $ ?
1 Given f(x) = 5x² - 4 and g(x) = = 6 - find the following expressions. (a) (fog)(4) (b) (gof)(2) (c) (f o f)(1) (d) (gog)(0) (a) (fog)(4) = (Simplify your answer.) (b) (gof)(2) = (Simplify your answer.) (c) (f o f)(1) = (Simplify your answer.) (d) (g og)(0) = (Simplify your answer.)
(1 point) Let f and g be permutations on the set {1, 2, 3, 4, 5, 6, 7}, defined as follows (1 2 3 4 5 6 7 JE (3 1 6 5 7 2 4) f = (1 800 2 5 3 4 4 7 5 3 6 2 7 6) Write each of the following permutations as a product of disjoint cycles, separated by commas (e.g. (1,2), (3,4,5), ... ). Do not include 1-cycles (e.g. (2)) in your...
4) Let f(x) = a) fog and its domain x -4 and g(x) = 13. Find each of the following: b) gof and its domain
Let the f (x) and following q (x) be tables: defined by 4 3 What number is f(g(1) Af(q (1)) = 5 В f (9 (1)) =3 E f(g(1)) = 8 C FCG (1)) = 4 D f (9 (1))=9