1.1 Let u(x; y) = 4(x2 - y2 ) - 5y. If f(x; y) = u(x; y) + iv(x; y) is an entire function, then v(x; y) = A. -8xy - 5x B. 8xy - 5x. C. 4y2 + 5x + 1. D. 8xy + 5x - 12e. E. None of the above

Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: 13x + 7 is x – 3 The domain of the function f(x) OR-(3}

A: The domain of a function is defined as the set of all input values for which the function is…

Q: The domain of the function f(x): 11x+8 is x+4 • R-{-4} 10 • R • R-{8} • R-{11}

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Q: Differentiate the following function. y= Choose the correct setup below to differentiate the…

A:

Q: 4. Given f(x) = 2x +1; g(x) = 5x - 3. Find the product of f and g. A. 10x+x-3 B. 10x-x+3 C. 10x +x+3…

A: We find out the product of f(x) and g(x).

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: a. Find all functions from {0, 1} to {1}. b. Find two relations from {0, 1} to {1} that are not…

A: We have the domain is A=0,1 and the range is B=1 First we find the relations from A=0,1 to B=1: The…

Q: Differentiate the following function. Do not simplify unless indicated. d e-3 dz z+1 (factor and…

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Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

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Q: y = d(x) d. -10 -8-6- 2 4 6 8 -8 -10 d. Is the function above odd, even, or neither: 2.

A: The graph of the function is To determine: Whether the function is odd, even or neither.

Q: For items 1 - 2. Let f (x) = 3x² + 9x – 3 and g (x) = 4x³ – x² + 4x – 9 %3D 1. Determine (f – 9) x.…

A: We know, f+g x = f(x) + g(x) f-g x = f(x) - g(x) fg x = f(x) g(x)

Q: Find functions f and g so that fo g=H. H(x) =x +4 Choose the correct pair of functions. OA. OB. f(x)…

A: Solution

Q: Evaluate the given function at the indicated points. (Write your answers in the form a + ib.)…

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Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). 2x2 — 2х — 14 -3x2 – 2x – 1 Option 1…

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Q: Let f(x)= = -2 x²+3x O Only 0 O Only 3 O Only -3 Only 0 and 3 What values of x have to be excluded…

A: given  f(x)=-2x2+3xfor domain  x2+3x≠0

Q: The yintercept of the linear function f(x) =7x+9 is -6.6 11 9 4.3 -1.3

A: We know that the y-intercept of the function fx is the point where the function cuts the graph on…

Q: For f(x) = 5x – 1 and g(x) = 5x2 - 1, find the following functions. %3D a. (fo g)(x); b. (g o f)(x);…

A: Given f(x)=5x-1 and g(x)=5x2-1fog(x)=In place of x of f(x) substitute g(x)fog(x)=f(g(x))=5(5x2-1)-1…

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: The function f(x)=-(x+3)+2 opens up. O True O False

A: Let's find.

Q: XI. Refer to the functions f, g, and h defined here. f(x) = 1/x, g(x) = 2 vx, and h(x) = x2 -1…

A: Using rules of functions.

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Find the X-values of all points of inflection for the function f(x) = – x* + 6x³. O A. X = - 3 only…

A:

Q: 9

A: We will find the difference coefficient.

Q: Find the rule of the function associated with the following table. 1 2 3 y 1 - 3 -7 -11 y = -4x+1 y…

A: We have to find the function y x 0 1 2 3 y 1 -3 -7 -11

Q: The function f and g are defined as follows. A. -3 or f(x)%= In(x+1), x>-1 8(x)=x² +2x , x>-1 B. -3…

A: Solved below

Q: 10. Let f(x)= 3x + 8 and g(x)= x - 2. Find f(g(x)). a. 2x + 3 b. 2x - 3 c. 4x + 1 13 d. 3x + 2

A: As per our guidelines we are supposed to answer only one question. Here question 10 answered.