5. Let B= {a,b, c}. For each of the following, if possible give an example. If not possible, explain why not. (a) A 1-1 function fi : B → Z (b) An onto function f2: B- z (c) A 1-1 function f3 :Z- B (d) An onto function f4 :Z- B

Q: 11. (a) State the largest possible domain of the following functions: opk fix → x-3 x+2 h:xx²+3…

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Q: 1. Is the following relation a function? If not, explain why. 2. Is the following relation a fur…

A: 1) From the given table, The element 0 in the domain set has two images 1 and 2 in the range set.…

Q: 6x + 5 Define a functionf: R* → R as follows: for all real numbers x, f(x) = Then f is both…

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Q: Examine each of the following relations given below and state in eachcase, giving reasons whether it…

A: (i) R = {(2,1),(3,1), (4,2)} For one value of x, we got one value of y So it is a function.…

Q: Given f: R → R where f(x) = -3x² +7 Is it a function or not? If function, identify whether it is…

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Q: (c) h: Z → Z. h(x) = x³ (d) f: Z - Z, f(x) E - 4 (e) f: Z- Z, f(x) = 5x - 4

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Q: x + 1 (b) Let f(x) = and g(x) = x²+1. x + 2' ii. Determine if f and g are one to one or onto. iii.…

A: According to question given that f(x)=x+1x+2, g(x)=x2+1

Q: How do you show the inverse image of the intersecction of S and T equals the intersection of the…

A: To prove : f-1(S∩T)=f-1(S)∩f-1(T) To show f-1(S∩T)=f-1(S)∩f-1(T) need to prove…

Q: 2. Consider the following four functions from R into R, determine if onto or 1-1 function. Support…

A: To find out which of the following function is one-one,  onto .

Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove that the relationship is…

A:

Q: Refer to the following functions: p(x) = x² + 2x – 15 x+1 q(x) = x - 3 r(x) = v7-x Which of the…

A: Given functions are px=x2+2x−15, qx=x+1x−3 and rx=7−x. We have to check whether the given statements…

Q: Let f be defined by the graph to the right. Find VF(- 2.5) + f(1.9) – [(x))² + f(1) ÷ f(2) • f( – x)…

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Q: Let A = {1,2,3}, Define the functions f: A → C and g: B → C by f(1) = 7, f(2) = 9, f(3) = 7, g(4) =…

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Q: Let T be your family tree that includes your biological mother, your maternal grandmother, your…

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Q: Use the graphs of f and g to evaluate g(f(2)) y (2,4) (4,3) (-2,1) f (2,-2)

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Q: Let f(x) = x and g(x) = x-8. Determine the composite functionfog and its domain. %3D (fo g)(x) =…

A: given that fx=x and gx=x3-8determine the composite function fog and its domain

Q: 7. Let A = (1, 2, 3, 4, 5) and define a function F: 9(A) Z as follows: For all sets X in P(A), 0 if…

A: Function value whose domain is a power set

Q: How do you show the image of the intersecction of S and T is a subset of the intersection of the…

A: Let function f from A into B. Let S and T are subset of A. To show that fA∩B⊂fA∩fB. Let y∈fA∩B. To…

Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove the following: f(C) -…

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Q: Use the graphs of f and g (see attached) to evaluate the composite function :  (f ∘ g)(-1)

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Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: 2. f(x)= 2x³ – 7

A: Given function is f:ℝ→ℝ such that fx = 2x3 - 7