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: $6. Determine the complementary function for the given DE.

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A: We know, if A and B are two sets then, A is subset of B  if every element in A is also in B.

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: Let f(r) z-6z and g(r) -6. Evaluate the following 1. (o g)(z)= 2. (g (z)= 4. (g)(e)

A: The given function is fx=x2-6x and gx=x-6

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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: f:R- {- } - 5x-4 -, f(x) = %3D 3x+7

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Q: 31. Letf(x) = [x²/3]. Find f(S) if a) S = (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: 31. Given the function is                            f(x)=x23.

Q: 3. Let f : A → B. Then 18f = f and f1a = f. Hint. You may use the fact that fg, for functions f, g,…

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Q: (c) If each fn has a finite number of discontinuities, then f has a finite numberof discontinuities.

A: The given statement is: If each fn has finitely many discontinuities then f has finitely many…

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Q: -1| 03 f(x) | 15 8 | -1

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Q: 7. Find the function U, whose first difference is *C

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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A: given  productivity function=p(l,c) l=amount of labor and  c=amount of capital utilized

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Q: 1. State the properties of the Bassel function.

A: Here are some properties of Bassels Function

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A: Given :Associate property : h∘f∘g=h∘f∘g

Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

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Q: QUESTION 23 Let i -1 be the inverser function of a function f.lf fx) - 2/x-4. compute -(8)-

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