With f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) Determines: A) f + g B) Fg C) f (g(x))

Q: . If f(x) = - x and g a) (f + g)(x) = \\+2x (4-x)+(3x+7) = 11 + 2x c) (f. g)(x) = (4-x)-(3x+²7)…

A: We are given the functions and we need to find out the following functions as given in the question.

Q: 13. Let U be the set of real numbers, A = {x |x is a solution of x - 1 = 0}, and B ={-1, 4}.…

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Q: 1 In Exercises I to 6, construct a difference table to predict the next term of each sequence. 1. 1,…

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Q: 7) f(x) = -4(x + 7)3 8) f(x) = 2x3 + 4 10 10 8. 6. 4 2 -10 -8-6 -4 -2 4. 6. 8 10 -10 -8 -6. -4-2 2.…

A: To describe how the given functions are related to g(x)=x3

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Q: Let A=(1,2,3,4), B=(00,01,10,11), C=(x.y.z). f, = {(1,00).(2,01).(3,01).(3,10) (4,11)} f2 = ((1,x),…

A: f3 is a function from A to B . f1 is a function from A to B. domain of both f3 and f1 Is A and Range…

Q: 2. If f(x) = ((-4,4) (-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x) = {(-3,0)(-1,6) (1,-4)(3,-2)),…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: (2 3. Let A = G) and B = (; ). Compute and compare: %3D a. Det(A + B), det(A) + det(B). b. det(3A),3…

A: We have A=2-135 and B=1211 Part(a) Now if we have a matrix M=abcd, then, detM=abcd=ad-bc Therefore,…

Q: e O Di) what's A B c) A) B) another (-1+73)/10 (1 - 1) /2 (1-7) / 8 (-1 +7i)/4 f(x) has a f(x) f(x)…

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Q: I have the following example:  "For the function f : A = {a, b, c, d, e} → B = {1, 2,..., 6}…

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Q: Given the functions f(x) = x? - 3 and g(x) = 2x + 1, find... a) f(g(x)) b) g•f(x) c) d) gog(x) e)…

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Q: 9) -6 Ay C. x-intercepts: D. y-intercepts: F. Find x when f(x) = 0: G. Find f(3)

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Q: -2 3 A = :), f(x) = -4x + 2 5 3 ON(-20 10 -12 -10 0 3 OB ( ) 8. -10 -12) -18 35

A: Here we will find f(A),

Q: X+2 If f(x)= for which of the following X-1 values of xis ((x) undefined? A) -2 B) -1 1 C) D) 1

A: The given function is  f(x) = (x + 2)/(x - 1)

Q: if u = (-1,0) and v = (3,-1), then 2u - 3v is:   a)   (-10, -3)   b)  (-10, 3)   c)  (10, -3)…

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Q: 13. The function k is given by k(x) = (2x+1)(4x-7). Find the x-coordinate(s) of all critical…

A: Critical points are points where the derivative of the function is 0 or undefined. To find the…

Q: If w(f.9) = , then w(s.S+9) = (A) (B) - (C) 22 (D) -22 (E) None

A: Ans:- If w(f,g)=x2, then we have to find the value of w(f,f+g).

Q: Let a bc A= d ef g hi Assuming that det(A) = – 7, find a) Det(2A) b) Det(A´') c) Det(3A') d)…

A: Given that: A=abcdefghiand det(A)=-7

Q: Find the midpoint of (6, 7) and (14, 11). O (7, 18) О 20, 18) О 10, 10) (10, 9)

A: given points :(x1,y1)=( 6,7)(x2,y2)=(14,11) Midpoint = x1+x22,y1+y22

Q: 6. (10pts) Determine whether you can find the interpolating polynomial p(t) = a, + a,t + a,r² for…

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Q: If f(a, b) = eab (ab + a), show that fûû(a, b) — àƒÂ(a,b) = a²eab

A: We can solve this as follows:

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A: Given that:           f(x)=(1-x)2 and g(x)=9-x Find f(g(x)) and g(f(x)).

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Q: 1. Given that f(x) = {(1,3), (5,7), (9, 11), ( 13, -5)} and g(x) = { (-2,33), ( 1,-1), (5, 9)}.…

A: Given: f(x)={(1,3),(5,7),(9,11),(13,-5)} and g(x)={(-2,33),(1,-1),(5,9)} To find:  (a) f(x)+g(x)…

Q: If fx)= x -2x-3 & g (X) = 11 thenfind b) (gof)) a) (fog)x) &

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Q: If f f(x) dx 2 and g(x) dr 5 what is 2f(x) +g(x) dæ? 0 4 O 11 13 0 7

A: Let ∫abf(x)dx=m and ∫abg(x)dx=n then ∫ab[af(x)+bg(x)]dx=am+bn

Q: Which one of the following is isomorphic to Z4 x Z6/((2,4))?

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Q: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

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Q: a) If Z1 = -3 + 3i and Z2 = 4i. Show that: i) Arg(Z,Z2) + Arg(Z,) + Arg(Z2) ii) Arg (2) = Arg(Z,) –…

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Q: Gue Functions fandg, FindCa) Cf g) C&) and its dlomiain, and b) (g oF (x) and its. O F(x)--6xtq,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let A=(1,2,3,4), B=(00,01,10,11), C3(x,y,z). f1 = (1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x),…

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Q: 7. Show that (a). (Z, +) # (Q, +). (b). (Q,+)# (Q\{0},.). (c). (R\{0},-) # (Q\{0},.). (d). (R\{0},-)…

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Q: A B D (i), (iv) (i), (iii) (ii), (iii) (i), (v) (ii), (iv) Find U10 and U12: (i): U10 = {1,3,7,9}…

A: Answer is A

Q: A B D E (i), (iv) (i), (iii) (ii), (iii) (i), (v) (ii), (iv) Find U10 and U12: (i): U10 = {1,3,7,9}…

A: Please find attachment