To be onto, for any integer y, there exists an integer x such that y = f(x). Give a counterexample, let y = 20, which is an integer. If f(x) = 20, then x = 20 which is not an integer.

Q: Consider the function equals (x, y) = 1 if x = y, = 0 if x ≠ y. Show that this function is primitive…

A: The given function is: x,y=1 if x=y0 if x≠y

Q: a. Find all functions from {0, 1} to {1}.b. Find two relations from {0, 1} to {1} that are not…

A:

Q: .

A:

Q: The following functions all have {1, 2, 3, 4, 5} as both their domain and codomain. For each,…

A:

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

A:

Q: tan (w+2n eくな foo ttait

A: We have to find value of a and b :

Q: Let f(x) = Ax² + Bx + C where A, B and C are real numbers. Prove that if f(x) is an integer whenever…

A:

Q: T F If U is an orthogonal matrix, then the rows of U form an orthonormal basis of Rn.

A:

Q: Use the function f(x) = 5x – 6 to compute and expand and simplify the following. a. f(-) = b. f(-6a)…

A:

Q: Show that if fi(x) and f2(x) are functions from the set of positive integers to the set of real…

A: It is given that f1x and f2x are two functions defined from the set of positive integers to the set…

Q: Is the function f(x) = x + 1 from the set of integers to the set of integers onto?

A: For onto from set A to B, Every value of set B should exist atleast once in the function.

Q: Let f(x) ƒ¯¹(-4)= = x+1 x+8

A:

Q: Given x = {5,10,15,20,25,30} and y function from X to Y. Let f(5) = 400, f(10) = 100, f(15) = 500, f…

A: x=5, 10, 15, 20, 25, 30  &  y=100, 200, 300, 400, 500, 600. f5=400,  f10=100,  f15=500,…

Q: 4- 13 + 6y = 0 dx

A: We have to be find

Q: T F If a 5 x 5 matrix has only 3 distinct eigenvalues, then A cannot be diagonalizable.

A:

Q: Is the function f(x) = x2 from the set of integers to the set of integers onto?

A:

Q: Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. Find the domain of f

A: Given function  f = { ( 1 , 2 ) , ( 3 , 4 ) , ( 2 , 6 ) , ( 5 , 9 ) }

Q: 3ªx2 lim log3 — 4х + 7 4 Зx2 — 5х — 1

A:

Q: Find the rule for (f ogoh)(x).

A:

Q: Suppose that o f (x) dx = 3. Find L f(x) dx if, %3D

A:

Q: 2. Let f: A B be a function, {B}je a family of subsets of B. Prove that f-¹ (njej Bj) = njej…

A:

Q: Let a, b, c, d be real numbers where c and d are not both zero. Let X = {x E R | cx + d + 0}. The…

A: "

Q: Consider the triple integral ffw xyz2 dV, where W is the region bounded by z = 36-y², z = 0, Write…

A: Given triple integral,where W is the region bounded by  We have to find the x bounds.

Q: -2 3. 1-2 - 3 L-3 -3 -2 = [0] 2. 2. 3

A: x  2  13-2-3-2-3-2-3-82x-13=[0]x213x-7-2x-3-3x+14=[0]3x2-7x-4x-6-3x+14=0

Q: Let x > 0 and b > 0. Show that

A: