Option d is correct
Solution :-
q(1)=3
Now check in the table of f(x) ie. f(3) which is equal to 9
Let the f (x) and following q (x) be tables: defined by 4 3 What number...
The functions f and g are defined by the following tables. Use the tables to evaluate the given composite function. f (g(9)) x f(x) -1 | 2 04 15 5 -1 x g(x) -3 -5 2 - 4 42 9 -1 f(g(9))=0
I. Let f : R → R be defined by f(x)-x2 +1. Determine the following (with minimal explanation): (a) f(I-1,2]) 1(I-1,2 (c) f(f3,4,5) (d) f1(3,4,5)) (e) Is 3 € f(Q)? (f) Is 3 є f-1 (Q)? (g) Does the function f1 exist? If so describe it (h) Find three sets, A R such that f(A)-[5, 17]
4) [4 marks] Let f be the element of Se defined as follows: f(1) = 3, f(2)= 2, f(3) = 4, f (4) = 1, f(5) = 6, and f(6) = 5. Let g be the element of S& defined as follows: g(1) = 2, 9(2) = 3, g(3) = 1, g(4) = 6, 9(5) = 5, and g(6) = 4. Compute fog and gof.
let f(g) be defined as f(g)=g^2-g for all values of g. If f(x) =f(x-3), what is rhe value of x et fle) be defined as f(g) = g? -g for all values of g. If f(x) = f(x-3), what is the value of x? a) 1 b) c) 2 d) 2.5
4. Let F(x,y) - PiQj be a smooth plane vector field defined for (x,y) f (0,0), and F - dr for integer j, and all suppose Q - Py for (z, y) (0,0). In the following L-JF dr for integer j, and all G are positively oriented circles. Suppose h = π where G is the circle x2 + y2-1. (a) Find 12 for G : (x-2)2 + y-1. Explain briefly. (b) Find Is for Cs: ( -2)y 9. Explain...
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...
3. Let f(r) be defined by and let F(x) be defined by F(x) = Í f() dt, a. Find F(x). 0 x 2. For what value of b in the definition of f is F(x) differentiable for all x E [0, 2)?
consider the following input / output tables Problems 3-4, Consider the following input/output tables: 0 1 4 I 1 2 8 -2 3 2 -1 0 - 1 2 4 043 7-2 f'() 6 5 - 1 -2 3 3. Let h(x) = f(x)g(x). Evaluate W(3). 4. Let h(x) = f(c)). Evaluate (2)
The functions f and g are defined by the following tables, Use the tables to evaluate the given composite function x f(x) x g(x) (g of( 3)
The functions fand g are defined by the following tables. Use the tables to evaluate the given composite function. (gof)(-2) g(x) х -2 0 - 6 f(x) 2 4 5 - 1 х -2 2 4 1 5 2 -1 8 (gof)(-2)=0