Solve the following polynomial inequality. Express the solution set in interval notation. (x - 1)(x - 2)(x - 3) 2 0 O [1, 2] U (3, 0) O (1, 2) U (3, c) O [1, 2] U [3, c) O (1, 2) U [3, 0)

Q: Let f(x) = x + 3 and g(x) = x² – 3x + 9. Find each of the following. a. (fg)(x) b. (fg)(-2) c.…

A: Given function are fx=x+3 and gx=x2-3x+9. To find: (a). fgx   (b).   fg-2     (c). fg0 Solution: We…

Q: f (x) = x - 3x +1 and g(x 4x2 + x +5. Which one of the Let following expressions is equivalent to…

A: To find f(x)+g(x).

Q: A company estimates that its profit, P, in hundreds of dollars, is P(x) = -4x2 + 40x + 3 where x is…

A: Given:     P(x) = -4x2 + 40x + 3

Q: For the quadratic function f (x) = x² – 4x + 6, which of the following statement is true? %3D a)…

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Q: f(x)= 6x +11x+3 is a quadratic function. O True O False

A: Given query is to find that statement is true or false.

Q: If f(x) = 2z + 2 then find 02 22 +h O 22-h 200 Oh 32-h f(2 + h) - f(2) h

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Q: Identify the vertex of: f(x) = 3(x - 5)² + 1/2 O (-15) O (5) O (-1/52,7) O (5,-)

A: Identify the vertex of: fx=3x-52+72A   72,-15B   72,5C   -152,7D    5,72

Q: Vx+4 -2 1 limx¬0 ||

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Let f(x) = 3x2 - 1, and g(x) = -2x + 7. Find (f + g) (-3). O 14 O 39 O 41 O 27

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Q: What is the maximum value of f(x)= 2x4+16x3+40x2+64x+7 on [-8,-2]? a. -57 b. 4 096 c. -121 d. 2…

A: Given: fx=2x4+16x3+40x2+64x+7 ; x∈-8, -2   As we know that; The Power law; ddxxn=nxn-1

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

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Q: Which equation is a quadratic function reflected over the x axis and shifted up 2? O f (r) = -a? + 2…

A: The quadratic considered here is  f(x) = x2 By reflection in x-axis the whole thing becomes…

Q: how many zeros are in the solution to the function g(x)=x2-3x+4

A: SOLUTION-

Q: A. Convert the following quadratic functions y ax? + bx + c in the form y = a(x - h) + k 1. y = x² +…

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Q: The Range of the quadratic function f(x) =-² +24r + 55 is O (-55, 12] O (-00, 55] O [55, 00) О (),…

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Q: f(x)=3x2-12x+5 and the closed interval [3,0] Which of the following is the absolute maximum and…

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Q: Solve the inequality for real x:  2 (2x + 3) – 10 &lt; 6 (x – 2)

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Q: The height of a certain amusement park ride follows the function h(t) = −³+ 11t² — 32t + 28, where…

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Q: Find the x-intercepts of the following quadratic function. f(x) = -x² +9 O (0, 3) and (0, -3)…

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Q: Solve the inequality for real x:  3(x – 1) ≤ 2 (x – 3)

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Q: Find the number in {xER: -2<x<2} such that the sum of that number and its square is a maximum. Write…

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Q: 9. Choose the correct answer. Which of these is the standard form of the quadratic function y = -5(x…

A: simplified the expression.

Q: Show that |x + y|≥||x|−|y||, solution without using piecewise function

A: Just I have used the triangle inequality of absolute function and easily prove that the given…

Q: Let m(x) = 2x²-ax-2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

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Q: A. Find ((x) for each pair of functions. Show your solutions. (6 points) 1. f(x) = x + 3 and g(x) =…

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Q: Find the x-intercept(s) of the function (*)--+5x-6. O 2 and 3 O 6 and 1 O -1 and 6. O 5/2 and 3

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Q: Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac.…

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Q: Evaluate the function at the given value of the independent variable and simplity. f(x) = x² + 4;…

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Q: f (x) = x + 2x - 8x2 - 18x - 9, Which graphs shows the function -10 -15 -15

A: Here we have to graph the function        f(x) = x4 + 2x3 - 8x2 - 18x -9 .

Q: - Determine the coordinates of the vertex of f(x) = -2x². - - (5, 35) .(-5, –15) .(-5, –40) 1. (-5,…

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