Question 4. Consider the functions f: A → B, g : B → A and h : B → A such that if gf = 1 4 and fh =1B. Prove f is a 1-1 correspondence A - B. f14 = f and 1Bf = f. (a) (b) %3D

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Q: Question 4. Consider the functions f : A→ B, g : B → A andh: B → A such that if gf = 14 and fh = 1g.…

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Q: a. Let X = {2, 4, 6} and Y = {a, b, c, d'}. Define g : X→ Y by the following arrow diagram. X 2 4 bo…

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Q: 6.3 Let g: R → R be a real-valued function defined by g(x) = x² + 2x - 1. Let A = (-2,3], and B =…

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Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. У(х) %3D…

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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. Functions f and g are defined as follows: f:R -R f(x) = x2 – 3x –1 Perform these expressions…

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Q: 1. Consider the table of values for f given below: 3 f(x) 4 6. 5. Find the value of (a) ƒ-'(5), (b)…

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Q: Consider the possible functions from [7] to [9].  How many in which f-1 is not a functio

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Q: Please show steps for F AND G. thank you.

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Q: Given that A = {1, 2, 3, 4, 5} and B = {x, y, z}, determine which of the sets of ordered pairs…

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Q: 1a) Let A = {1, 6, 12}, B = {0, 2, 12}. The following are all relations from A to B, but which are…

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Q: Q1 a) let f be a function defined as f(x)=3x² + 2x². Find f(2), f(-1), f(1). b) Define functions f…

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Q: A TUN f: {1,2,3,4} is defined by f(1) = 6, ƒ(2) = 7, f(3) = 8, Drag the answers into the right place…

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