4. Let f: Z→ Z defined by f(x) = x - 7. Determine the following. a) Domain b) Co-domain c) Range d) Image of 3 e) f) g) Is f one-one? Is f on-to? Is f invertible? If so, find the inverse

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A: Given:

Q: b) Let ø € Fnc(A, B) be the function that maps the position a e A to the numeric digit bEB that…

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Q: be a field and let c,d e F. Show that c · (-d) = -(c d).

A: Associative Property of Field F for a,b,c∈F a·b·c=a·b·c

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Q: Consider the function fG) =V2-x +8 for the domain (-oo,2). Find ft @) wwhere ft Is the inverse of…

A: Domain is set of elements where function is defined.

Q: Fad he averge yalue of the funchibon f fix) over the loterual [o,7] 3e- %3D

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Q: Consider the function g : ZxZ → Z × Z defined by g(x, y) = (4xy, 9x + 5y). (a) Is g injective? (b)…

A: (a) we see (5, 0) and (0, 9) are different elements in ZxZ.      But, g(5, 0) = (4.5.0, 9.5+5.0) =…

Q: 2. For the given functions, i) f(x)=2+ x ii) f(x)= /x+1, xz-1 3x iii) f(x)=- x +2 Find the following…

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Q: Q, Frd the donain of H fallowing function: fa) = 5x -3x-4

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Q: Prove where the following complex function is analytic

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