How has the function g(x), shown below, been transformed from the parent function, f(x) = x2 ? %3D g(x) = (x + 2)2 %3D O The function g(x) has been translated up 2 units. O The function g(x) has been translated left 2 units. O The function g(x) has been translated down 2 units. O The function g(x) has been translated right 2 units.

Q: 4. For the functions f (x) = x + 2 and g(x) = x² – 2x + 7, which expression has the greatest value?…

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Q: 4. f (x) = 5 - x and (gof) (x) = x2-10x + 30 since the function g(x) is the following- which is…

A: The solution is:

Q: f(x) = x + 3, g(x) = x² – 9

A: Given functions are fx=x+3,gx=x2-9. First sketch the graph for the above functions as shown below.…

Q: 9) Find f(-2). f(x)=3x2 - 8x + 7 My Answer: 10) Given f(x) = x2 - x³, find f(-10). %3D My Answer:…

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Q: x+8 f(x) = 6x-8, g(x)= %3D

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Q: unction​ P(x) for a company producing x thousand units is given by P(x)=−2x2 +26x−84   Find the…

A: The profit function is given as P(x)=-2x2+26x-84 we have to find the values at which the company…

Q: G' (x) = 2xex + x 2ex, and this is not equal to f (x). However, H'(x) = 2ex + 2xex - 2ex = 2xex = f…

A: Given Data The derivative function is G’(x)=2xeˣ+x2eˣ. The another derivative function is H’(x)=…

Q: 3 g(x) = 2.x'x 5 4.

A: g(x) = 3/2x3 + 5/x2       g(x) = 1.5x-3 + 5x-2   g'(x) = 1.5 (-3) x-4 + 5(-2) x-3        = -4.5x-4…

Q: g(x) = la - 1 9 (2) =

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3x-4 x > 1, f (x) = 0, elsewhere.

A: Given: fx=3x-4   x>1

Q: f(9(x)) = 5 (x + 4) 2 f(g(x)) = (2a² + 3x – 5)7 f(g(x)) = (3x – 1)25 1. - 3.

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

Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

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Q: A function, f(x), has a domain of D:{x|x >_-2} and a range of R:{y|y<_-3}.  Determine the domain and…

A: We have to solve two inequalities

Q: The range of f(x)= 2x2+5x-8 is [- 65/8, 0) O [-73/8,00) e [-10,00) [-17/2,0) [- 89/8,00) O…

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Q: 7. f(x) = x + √√/2x - 3, 3 2 x - 3 x-2' 8. f(x) = g(x) = 3 g(x) = = 3 r2 – 5r+6

A: Given  7.   f(x) = g(x)

Q: A study indicates that spending money on pollution control is effective up to a point but eventually…

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Q: 5. f(x) = -2x g(x) = |x+4| h(x) = 1 %3D %3D X-3 Find (f – g)(3) a. )(7) b.

A: To find the following parts.

Q: The total cost (in dollars) of producing a product is given by C(x) = 800x + 0.1x2 + 1200 where x…

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Q: 1. g(x) (x - 4)2/2

A: Find g’(x) and equate to 0 to find the critical point.

Q: 4. f(x) = -3 (x + 8)2 -20 a= b= C= h= k=

A: We can find answer to the blanks as below.

Q: The profit function P(x) = -x + 20x2 – x gives a company's total profit (in millions of U.S.…

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Q: f(x) = -x- 5 g(x) = x² – 4 Find f(x) + g(x) %3D

A: We have a given function f(x) and g(x)  We have to find the sum of both function.

Q: 3x + 8 If f (x) = 2r and f(0) = -8, what is the value of A? A %3D A =

A: Find the value of A

Q: 4х 3. f(x) = g(x) = ( x* + 3) %3D %3D 6х + 3 Find : (f0 g) x and (g0f) 5

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Q: 11.04 How can the function x² + y? – x®y³ r² + y² f(r, y) =

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Q: 4 f (g(x)) = (3x² – 2x + 4)6 f (g(x)) = (x)(x² + 3)² - 5.

A: We have to find derivative of given function.

Q: kx,0 6

A: From the definition if the function is probability density function then, ∫-∞∞f(x)dx=1 Here,…

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: Let k(x)=f(x)g(x)/h(x). If f(x)=−4x+3,g(x)=2x+2, and h(x)=−3x^2−4x+4, what is k′(x)? Simplify your…

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

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

A: Given,           fx=x-1x-6 , gx=x+4

Q: 4. For the functions f (x) = x + 2 and g(x) = x² – 3, which expression has the greatest value? a.…

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Q: ​f(x)=−22x+4 and ​g(x)=x^2−22. How do I find the difference (g-f)(x)

A: Given,

Q: <ニ 3メ (2) = (6) for g (x)= 2x+1/f (x)

A:

Q: A8: By use of the chain rule, differentiate the function f(x) = (e2x – 1)5. %3D

A: our objective is to find the derivative.

Q: Q3) A) If you have three functions: f (x) = x² – x g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x) and…

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Q: What is the equation for h(x)? 4. If h(x) = f(x) + g(x) and f(x) = (x +4)2 -2 and g(x) = -3(x – 8) –…

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Q: 2. f(x) = - 2x + 6 g(x) = - x/2 + 3

A: Given: fx=-2x+6 gx=-x2+3 fgx=-2-x2+3+6           =x-6+6           =x gfx=--2x+62+3…

Q: 8. f(x) = 2x + 4 g(x) = x- 7 h(x) = 9- x Find g(h(2)) * %3D -8.

A: Consider the given function:

Q: Are these two functions equivalent? Justify your answer in more than one way. i) g(x)= -4(2x+6)^2…

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Q: a) Determine the domain of the function f(x) = /x2+ x-6 b) The following is the result of Gaussian…

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Q: What is the x-value of the point of inflection of the function f (x) = a³ – 4x² + 4x +3? O The x…

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Q: Different iate G(x)= (Sx²+8)(2x +Tx) )(2x+Fx) G'W = G(x) %3D

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Q: F(x) = 2x^2 -4 F(x+h)-f(x) /h =?

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Q: Pls help

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Q: (fog)(x). f(x)=x2+4 and g(x)=x2-7

A: Given data:   The first function is f(x)=x2+4. The second function is g(x)=x2-7.   The expression…

Q: 3. f(x)=5x-3 g(x)=(x-1)2 %3D

A: Here, the given functions are: f(x)=5x-3, g(x)=(x-1)2 To find g(f(3)).

Q: & g(x)=3x+4 find

A: Answer :-    given ,          f(x) = 2x - 5   and g(x) = 3x +4then we have to find (fog)(x).ie,…

Q: f(x) = 3-x2 g(x) = x² + 2x – 15 a. +g)(x) b. (ゲ-g)(x) c. (fg)(x)

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Q: 5 e2x_x²+1 x³+2x²+4 find f' ( x II

A: