Let A={1, 2, 3, 4} and B={2, 4, 6, 8}. Define a function f:A→B such that f(x) = 2x for all x∈A. Find the image of the set {1, 3} under the function f.

Q: Let F= R and V = R*. Let W, = {(x1,x2,X3,X4) € R* : x1 – x2 + X3 – x4 = 0 and x1 +x2 = 0}, W2 =…

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Q: Determine all the 1-linear functions δ: M1×1(F)→F.

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Q: et f: AB and g: B→C be functions. Show that if gof is njective, then ƒ is injective.

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Q: Let ‘E’ & ‘F’ are any two non-empty sets and there order are as follows;…

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A: Given A = {1,2,3} then ρ(A) = {ϕ , {a} , {b} , {c} , {a,b} , {a,c} , {b,c} , {a,b,c}} Define f :…

Q: ? ? ? Hint: ✰✰✰✰✰✰✰.. 5. {(b, 6), (h, 2), (0, 6), (r, 4), (s, 27)} 6. {(b, 2), (h, 27), (0, 4), (r,…

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Q: A = {2, 3, 4, 5} and B et f : A → B be a func ow. Which of the following

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Q: Let A = {1,2,...,n} and consider the functions f: A → A. a. How many functions satisfy f(1) = 1? b.…

A: This question related to function and bijection.

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…

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Q: Let X and Y be sets with A,B ⊆ X. If f : X →Y is a function, prove that f(A∪B) =f(A)∪f(B)

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Q: 18. Let A = {1,2, 3}, B = f: A → B, and g : B → C, such that {W, Y, Z}, C = {7, V2, V5}. Find…

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Q: Let A = Z and B = Z. Suppose f: A ∈ B is defined by the rule f(a) = a3 + a + 1. Determine f(−1) and…

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Q: Suppose that A and B are sets and f : A –→ B is a function. Fix subsets X,Y C A. Prove that Imf(X) –…

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