Which of the following define the function (f –h+ g)(x) given f(x) = x³ – 2x,g(x)= x² + 3x+1 and h(x) = 3x³ + 2x² A none of the given choices B -2х-Зx2-5х-1 -2x3 - x2 + x +1 O2x³– x² + x – 1 E 4x3 + x2 – 5x + 1

Q: х- 3, x2

A: Given:      Let fx=x-34-x2x2-3x<-2-2≤x≤2x>2              gx=x2-x+1   For x=-12        fx=x-3 ,…

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A: Since in the given question in part (b) you asked for g inverse but there is a function f so, we…

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A: The given functions are fx=4x2-3x and gx=ln3x-1. Here,  hx=4x2-3xln3x-1.

Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x    if x < 2              2x + 4     if…

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Q: Let h(x)=f(x)/g(x), where f(x)=x+1 and g(x)=x2+3x−2. What is h′(x)?

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Q: The absolute maximum value of the function f(x) =x3 – 12x +4 on the closed interval [-1,3] is equal…

A: Topic = Application of derivative Absolute maximum value is 15.

Q: Which of the following define the function (f -h+ g)(x) given f(x) = x3 – 2 x, g(x) = x² +3x+1 and…

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Q: Find f(x) and g(x) such that h(x) = (fo g)(x). X -9 h(x) = X +9 Choose the correct answer below. O…

A: In f(x), we have to put g(x) in place of x to obtain fog(x).

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A: We are to determine whether the function has a removable or essential singularity at x=-2,2.…

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Q: Which of the following define the function (f - h + g)(x) given f(x) = x^3 - 2x, g(x) = x^2+ 3x+1…

A:

Q: select "NONE" from the list of possible counterexamples. If false, select all functions that are…

A: (I) A, B, D, (II) A, B, C, E  (III) B, C, E

Q: Let h(x) = f(x)g(x). If f(x) = -x - 4 and g(x) = In(2x2 – 2x – 4), what is h'(x)? %3D Select the…

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Q: Let h(x) = f(x) %3D where f (x) = In(3x² + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the…

A: We have to find the derivative of h(x).

Q: D) Identify the even function among the following. A) f(x) = 2|x| - x² %3D B) h (x) = 2x – x² %3D C)…

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Q: x² + 2 if x < 0 b) f(x) = ax + b if 0sx<1, (3 + 2x- x2 if x 21 determine a and b, such that the…

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Q: Which of the following define the function (f –h+ g)(x) given f(x) = x3 – 2x, g(x)= x² + 3x +1 and…

A: (f-h+g)(x) = f(x)-h(x)+g(x)

Q: What is T₂(x) centered at a = 3 for a function f(x) such that f(3) = 9, f '(3) = 8, f "(3) = 4, and…

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Q: -3x² + 5x – 12, x 2

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Q: 7. Determine the end behavior of f(x) = -2/x - 4 -8 X → o f(x) → -0 X → o f(x) → -00 В. X → o f(x) →…

A: Topic = Function correct option = D

Q: The function 3 y = -x³ (2x – 3)(4x + 3)° is negative on the intervals ) a) x E (-∞, –) and x 4 X 3 E…

A: The given function is: y=-x3(2x-3)(4x+3)3

Q: Find f(x) and g(x) such that h(x) = (fo g)(x). x3 -4 h(x) = x +4 Choose the correct answer below. O…

A: Option B is correct.  For the complete solution. Please see the attachment

Q: The function f is decreasing on I if _____ when x1 < x2.

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Q: Which of the following define the function (f – h+ g)(x) given f(x) = x3 – 2x , g(x) = x² + 3x + 1…

A:

Q: Let k(x) = f(x)g(x) h(x) If f(x) = 3x, g(x) = x – 2, and h(x) a? +x + 1, what is k' (x)? = - Select…

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Q: 3. Find (f g)(2) if f(x) = x² + a +1 and g(x) = x- x- 1. %3D %3D O (f 9)(x) = a* + 2 + 3x +2x +1 O…

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Q: 6. (a) Express f (x), where x3 + 1 f(x) = %3D (x – 1)2 (x² + 1) Hence, or, otherwise, find HE AND…

A: f(x)=x3+1(x-1)2(x2+1)

Q: Let h(x) f(x) where f(x) = In(3x2 + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the correct…

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Q: Which of the following define the function (f – h+ g)(x) given f(x) = x3 - 2x, g(x) = x2 + 3x+1 and…

A: Let's find.

Q: Let h(x)=f(x)g(x) where f(x)=−3x2+4x−1 and g(x)=−x2+4x+3. What is h′(4)? Do not include "h′(4)=" in…

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Q: Given that f(x) = 3x – 2 g(x) = 4x + 6 and h(x) = 2x2  -8…

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: Which of the following define the function (f-h+g)(x) given f(x) = x3 – 2x, g(x)= x2 + 3x+1 and h(x)…

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Q: Which of the following define the function (f -h+ g)(x) given f(x) = x³ – 2x, g(x) = x² + 3x +1 and…

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Q: What are all values of x for which the function f defined by f (x) = a+3z2 - 9x +7 is increasing?…

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Q: (3 – x if x < 2 if x 22 - 4. f(x) = { is discontinuous on the interval (- 0, 2] %3D -3

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Q: 11. Use the given graphs of f and g to evaluate (5f(x)+3g(x)) dx |x=4 5- y = f(x)/ -4- y = g(x).- 2-…

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Q: Which of the following define the function (f – h+ g)(x) given f(x) = x3 – 2x, g(x)= x² +3x+1 and…

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Q: 1. Given that f(x)=x²-2x and that g(x)= Vx-15: A. State (g f)(x) and (g+f)(x).

A: We will find out the required solution.

Q: Let h(x) = f(x)g(æ). If f(x) = ln(3x² – 2x – 4) and g(x) 3x – 1, what is h' (x)? - %3D Select the…

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Q: Which of the following define the function (f – h+ g)(x) given f(x) = x³ – 2x, g(x)= x² +3x+1 and…

A: Given that, There are three functions following, f(x) = x3 - 2x g(x) = x2 + 3x + 1 h(x) = 3x3 + 2x2…

Q: Let g(x) = 5(x + 6)°(x – 1)*(x +7). Which of the following has the same end behavior as g(x)? O f(x)…

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Q: Which of the following define the function (f -h+ g)(x) given f(x) = x3 – 2x, g(x) = x2 + 3x +1 and…

A:

Q: 1. Given that f(x)=x² - 2x and that g(x)=Vx-15: A. State (g•f)(x) and (g+ f)(x).

A:

Q: Q3\ a) Find the values of a and b to make the functions continuous at every x: ax + 2b 2) g(x) = }x²…

A: Given function is,  f(x)=-2        ;x≤-1ax-b   ;-1≤x≤13          ;x&gt;1

Q: x3-1 D. Is the function k(x) = {x²-1* * 1 continuous at x = 1? 2,x = 1

A:

Q: 3x + 7x2-5x-4 Let f(x) = %3D 6x +4 1. Use Ad-hoc calculations to prove that f(x) is O(x2) 2. Use…

A: let fx=3x3+7x2-5x-46x+4 1) use the Ad-hoc calculations to prove that fx is Ox2 2) use limits to…

Q: (i) Show by using an (e – N) argument that 3n2 – 2n +1 lim 2n² – 4 3 (ii) Use an (e – 6) argument to…

A: As per company guidelines we solve first question. Since you asked multiple questions, we will solve…

Q: 1 Let f(x) = 6x - 1, g(x) = Vx, h(x) = x- 23 Find an equation defining (h ofo g)(x) and state its…

A: Since you have posted multiple questions i can do first question as per our company guidelines…