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

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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

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Q: Refer to the following functions: p(x)=x²+2x-15 q(x)= x+1 x-3 r(x)=√7-x Which of the following…

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

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Q: 1. Let A = {blue, yellow, red}, B = of the relations below (a) determine if it is a function (b) if…

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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,…

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Q: 5. Let A = {a,b} and B = {1,2,3}. (a) Write out all functions f: A → B using two-line notation. How…

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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

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A: Step 1: Step 2: Step 3: Step 4:

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: (a) Give an example of two functions f: A→B and g: B-C such that f is both 1-1 and onto but gof is…

A: (a)let's define sets 𝐴, 𝐵, and 𝐶 as follows:Let 𝐴={1,2}Let 𝐵={3,4}Let 𝐶={5}Now, let's define…

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

A: The domain of the given functions and the codomain .(a) (b) (c) The aim is to determine whether the…

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

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Q: What is a 1–1 function? A function f is a 1–1 function if, for any a and b in the range of f, f(a) =…

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Q: 7. For each of the following, give an example of functions f: A → B and g: B C that satisfy the…

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