Which of the following is an even function?   Question 6 options:   a)  y = –2x(x – 2)   b)  y = 2x2(x2 + x)   c)  y = 2x5(x5 – x3)   d)  y = –2x2(x – 2)

Q: g(x)-=x^2+4x-6- 10- f(x)-= 2^x- -5- 15 -10 -5 -5- 10 g(x) = -10 when x = 3 g(-2) = -10 g(-5) - f(0)…

A: The function is the mathematical expression that tells the relationship between one variable and…

Q: d the local max and min values of the function f(x)= 3x3 – 2x if it exists.

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Q: 2. What is the domain of the function f(x) = 3x D = (x|x ER} b. D = {x|x ER,x # 3} D = {x|x € R} d.…

A: 2) Given f(x)=3x As 3xis defined everywhere Hence D = {x | x∈R} Option (a) is True   3) f(x) =…

Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

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Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: 1 if x -2 18. f(x) = x + 2 %3D a = -2 1 if x -2 x+3 if x -1 a = -1

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Q: 2. 2. If f(x) 2x + 3 and g (x) = x-1, then f g(-1) = %3D A. 3 B. -1 C. 2 D. 0

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Q: -Зx2-5х+2 -19x-24 38х-4 3. f(x) = (Hint: f'(x) = and f"(x): (x+4)3 (x+4)2 )Find x and y intercepts…

A: Given the function

Q: (3ут+3) (л — 2) f (x) : x2+2x+1

A: Given           f(x)=3x3+3x-2x2+2x+1

Q: 5. The x-intercepts of the function f(x) = 2x² – 4x – 6 are %3D (1) (3) 3 and 1 -3 and 1 (2) (4) 3…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

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Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

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Q: (4) Find the domain of f(x) = Vx3 – 2x² – 24x. (A) [-4, 0] (B) (6, ∞) (C) [-4, 0] U [6, ∞) (D) [-4,…

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Q: 15 14 13 12 10 4 -6 -5 -4 -3 -2 5 -1 -1 4 -2 Find both pieces of the function. Use x as your…

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Q: If f(x) = x - 8 and g(x) = 3x + 6 then fg(-2) = %3D %3D

A: Since, we have been given that f(x)=x-8 and g(x)=3x+6.Our Aim is to calculate fg(-2)=?

Q: 4. 2x - 12 + 17 = 0 %3D f(x) ork

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Q: 6. If f(x) = x - 1 and gx) 3x + 10, what is f(g(-6))? %3D %3D

A: Given,    f(x) = x2 -1 g(x) = 3x + 10   To find : f(g(-6)) =?

Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

A: Let's find maximum potential revenue fruit.

Q: 14. If Ax) = X+3 and g(x) =x² + 5, what is f(g(4))? 2

A: We know that  (fog)(x) = f(g(x))

Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…

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Q: Part 1 of 10 (a) As I-- 0 f(x) -3. Part 2 of 10 (b) Asエ→2fは)ー - Part 3 of 10 (C) As I-2f(x)- 00…

A: topic - graph of a function answer is (d) . 3

Q: 2. f(x)=x²-6x X -6x Vertex x-intercept(s)

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Q: Let k(x)=f(x)g(x)h(x). If f(x)=3x−2,g(x)=2x−3, and h(x)=−2x2+4x, what is k′(1)?

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Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

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Q: 1. Find the domain of the functions. A) f(x) = 3x+1 15x-1|-4 B) f(x) = x2-7x+12 x+ 5

A: To find the domain of the following functions.A fx=3x+15x-1-4B fx=x2-7x+12x+5

Q: 1 -(x-6)* +5 f(x) = - 2 1 g(x): =-x -4 4

A:

Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: Differentiate f (x) = 7 (2-60+3). A. f' (2) = a2-6x- 3 B. f' (x) = In(7)(2x–6)7™(=²-6z+3) x2-6x+3…

A: Differentiate f(x)

Q: + 9, 9, 19, f(x) = 4 – x, g(x) = x² – 3x f + g)(x).

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Q: 1 If f(x) 1 then x2 f'(2) = |(2x^2+6x+12)/(x^5) Preview

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Q: 1.Discuss two practical applications in which “piecewise functions” are used either explicitly or…

A: We will answer the first three questions. Please resubmit the other question as a separate one.

Q: 5 2 7 . If f(x) = 3 + 4x · 2* + r", what are f"(0) and f"(0)? 3!

A: Given f(x)=3+4x-52!x2+73!x3

Q: If f(x) = 3 + 2x and g(x) = square root of 4 + 4x Then, what is the composite function of f o g?

A: Given: - The functions are, f(x)=3+2x and g(x)=4+4x To find: - The composite function of f∘g

Q: 4. If the function f is defined by f(x) = 5x + 3, then 2f(x) + 1 = %3D %3D 7x+4 В 7x+7 10x+4 D 10x+6…

A: If the function f is defined by f(x)=5x+3, then 2f(x)+1=

Q: 5 The axis of symmetry for f (x) = (x+ 2)- 25 is %3D A x 2 B x = 25 Cx -25 D x = -2

A: Solutions

Q: What is the relative maximum value of the functionf (x) = x³ – 6x? + 9x – 12? f(x) has a relative…

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Q: -8 f(1) – 4 g(4) =[ %3D 8- 6+ y= f(x) 2+ -8 -6-4 6. -4+ y=g(x) -6+ -8- ఈ

A: Given, The graph of the functions  y=fx   and  y=gx We have to find the value of expression…

Q: 1. Which pair of functions is equivalent? a. fx) = - 8x - 5x – 3 g(x) = 8x + 5x + 3 c. Ax) = (-6x +…

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Q: 21. If f(x) = 2x - 1 and g(x) 3x + 5, what is f(g(5))? %3D %3D

A: Given, f(x)=2x-1 g(x)=3x+5 f(g(5))=?

Q: 2 If f(x) = (x³ +3x)“, what is f'(æ)? O f'(x) = (x³ + 3x) O f (x) = (x³ + 3æ) (3a² + 3) O f'(x) = 2…

A: Follow the steps.

Q: If the domain of f(x) = x2 – 2 is limited to {0,1,2,3}, what is the maximum value of the range?

A: The domain of a function f(x) are the set of x values for which the function f(x) is defined whereas…

Q: 1-4, xs1 7) f(x) = %3D ++2, x> 1 -8 +一七

A: In this question we have to graph the function.

Q: 8. Consider the quadratic functions: f(x) = -2(x+3)(x-7) and g(x) =(x+3)(x-7). How are they the…

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Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

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Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: .If f (x) = 5x - 2, g (x) = 2x - 3 and h (x) = x2, then (fogoh) (-1) =

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Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

A: Given that h(x)=[f(x)][g(x)] So, using the product rule,  h'(x)= [f'(x)][g(x)] + [f(x)][g'(x)] Then…

Q: 3. 3 Z =6x,-Xg + X, + X, find the endpoints of the function

A: Given fx1,x2=6x1x2+x13+x23 To find the endpoints of this function: The endpoints are given by the…