N J 9. Consider the permutations f and g = = 5 2 1 3 4 set {1, 2, 3, 4, 5). Then go f = 1 2 3 4 5 1 5 4 3 2 = 10. The function f: Z→→ Z defined by f(x) 5a + 2 is surjective (onto). 3 154 2 I on the

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A: Explanation of the answer is as follows

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Q: 4. Let f: Z Z be defined by f(n) = 3n-1. Determine whether this function is 1-to-1 and/or onto.

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Q: Let A = {1,2,3}, B B = = Define the functions f: AC and g: B → C by f(1) = 7, f(2)= 9, f(3) = 7,…

A: We want g o h = f.     So, we want g o h(1) = f(1) = 7            and g o h(3) = f(3) = 7   Now,…

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Q: 2. Let f: A → B and g: C → D be functions. The product of f and g is the function defined as…

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A: We have to write in  form.

Q: Q6. Let f : R? → R² be a function defined by f(t, s) = (1+3t, 2s – t).

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Q: Let f, g,h: A→ A be any bijective functions. Then (f ogoh)-

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Q: 3. Determine whether each of these functions from is one-to-one/onto. (a) f : R → R, f(x) = 3r. (b)…

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Q: 11. Define F:Z × Z→Z × Z as follows: For every ordered pair (a, b) of integers, F(a, b) = (2a+1, 3Ь…

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Q: 3. Let X = {1,2, 3, 4}, Y = {a, b, c} and let f: XY. Prove by contradic- tion that f can't have an…

A: Given that: X={1,2,3,4}and Y={a, b, c}and f:X→Y

Q: (*) 1 2x Define F : R x R → R x R as follows: F(x, y) = 2y+7) for all (r, y) ER x R. 3 Prove that F…

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Q: Define F: Z × Z→Z×Z as follows: For all ordered pairs (a, b) of integers, F(a, b) = (2a + 1, 3b –…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let f: R2 R2 be defined f(x, y) = (3x + y,x+y). (a) Prove that f is a bijection. (b) Keep f the same…

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Q: T F 60. A function f is an injection means that for all a and b in the domain of f, if f(a)=f(b),…

A: According to Bartleby guidelines we can answer only first. Rest please repost

Q: 5. Let the functions f: A→B, g:B→C, and h:C→D be defined by the figure below. A В C D f C4 y – 3 a)…

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Q: - Let A = {1, 2, 3, .., 103. Consider f:P(A) → N given by f(B) = |B|. That is, f takes B subset of A…

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A: First we separate the variables and then integrate.

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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: 3. Suppose f: A → B is injective and g: B→ A satisies f g = wherei is the identity function on B.…

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Q: 6. Which one of the following functions is a bijection? O f:Z Z with f(z) = -z² %3D O f:ZZ with f(x)…

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Q: f : R → R where f(x) = 6x – 17 -

A: " Since you have asked multiple question. we will solve first question for you. If you want any…