and (a) (b) (c) f: R² → R² (x,y) → (y,x) g: R² (x,y) → R² (x+3, y - 4). Describe the geometric effect of each of f and Determine the composite function go f. Show that g is one-to-one and onto, and dete function g-¹.

Q: Use the graphs (see attached) of f and g to find (g - f)(-2).

A: To find (g - f)(-2).  (g - f)(x) = g(x) - f(x) value of both functions at x = - 2    g(-2) = 2 f(-2)…

Q: (8) 3a. Given the functions f(x) and g(x), find: a) domain b) range c) inverse of the function d)…

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Q: a) Let f: R-R be a function defined as f(x) = (x+2)?. Determine whether the function is one to one.…

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Q: Give the domain of the function. Зх — 2 - z = O {(x, y): x and y are real and y + 3x - 2} - {(x, y):…

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Q: Use calculus to show that the function, f (x) = x³ + 3x – 6, has exactly three zeros (where f(x) =…

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Q: Explain which the function are analytic or not: F(z) =2xy – i(x² –- y²) |

A: A function fz=fx,y=u+iv , where u and v are functions of x and y, is said to be analytic if it…

Q: rewrite the function F = (A ⊕ B) ⊕ C without the XOR operator, ⊕.

A: The given function is F = (A ⊕ B) ⊕ C.

Q: 5. (a) Let f: S T be a function, and A CT and BCT be subsets. Show that (A-B) = f-1(A) - f-(B). ww

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Q: Consider the following function: | 4x 9z -19 1 -1 -9z 19 f(2) = 3 13 0 0 0 a) What is the highest…

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Q: Determine the canonical form of the function f : R → R, f(x) = x2 − 4x + 6 and sketch its graph.

A: To determine the canonical form of f(x)=x2-4x+6 and to sketch its graph

Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B.…

A: givenA = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B

Q: 6) What is the domain of the cosecant function?

A: Here we have to find the domain cosecant function. Let, y=cscx It is the reciprocal of sine…

Q: 1. The graph of function f is shown. a) Draw the graph of f-¹ on the same set of axes as f. b) What…

A: Given the graph of f. The objective is to draw the graph of f-1 and to find the values of f-1(2) and…

Q: Find the inverse of the relation Express your answer in terms of the new 'y'. (x+7)²+(y-6)² = 19

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Q: Exercise 5: If f(x) = x5 + 2x³ + 2x, check that f is injective and find (f-1)'(-5).

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Q: Find and provide a sketch of the domain of the function 2 y2 f(r, y) = 9. 4.

A: Given,  f( x,y)=1−x29−y24 To Find: Domain and sketch of the given function.

Q: Evaluate the function at the specified points in the figure below

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: 2 Let f(x)=Vx and g(x)=- x-4

A: Given that  f(x)=√x and g(x)=2/(x-4) To find the f of g

Q: Let A = {x, y} and B = {w,z}. Describe all relations from A to B. Indicate which of these are…

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Q: Which best describes the mapping statements required to transform the function f(x) =…

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Q: [9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3),…

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Q: Consider the function f(x) = 2x - 1/ x+3…

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Q: Q1. Let f: N x N R be defined by (a + 1)(a + 2b) f(a, b) – 2 Show that the image of f is contained…

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Q: (d) Explain why ƒ : 3. Let f: A - B, g : B →C. Do the following. exists, fill in the blanks, and…

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