How has the function g(x), shown below, been transformed from the parent function, f(x) = x² ? %3D g(x) = (x + 2)² O The function g(x) has been translated right 2 units. O The function g(x) has been translated down 2 units. O The function g(x) has been translated left 2 units. O The function g(x) has been translated up 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: x+8 f(x) = 6x-8, g(x)= %3D

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Q: 12) f(x) = 3x° – 2x2 g(x) = 3x – 5 Find (f g)(1)

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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: 4. f(x) = e5x² x1o f'(x) =

A: We have given fx=e5x2x10   Product rule for differentiation. ddxu·v=uddxv+vddxu Here, u=e5x2, v=x10…

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: f(x) = x^2 + 3x - 4 evaluate the f(2a^2)

A: Given fx=x2+3x-4. To evaluate: f2a2 Solution: We have, fx=x2+3x-4 Put x=2a2 in the above equation.…

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

A: Given: fx=3x-4   x>1

Q: 6. f(x) = (5x7 + 19x³ + 2x – 12)²200 f'(x) =

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Q: Describe the x-values at which f is differentiable .

A: Given: Describe the x-values at which f is differentiable

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

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Q: F(X) = 3X+5 g(X)= 6X (Fxg)(X)= (F-g)(X)= (F+g)(4)

A: f(x) = 3x+5g(x) = 6x(F x g)(x) = F(g(x))                  = 3g(x)+5                  =3 x 6x+5…

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: 28. f (x) = 2*-2

A: This is a question on algebraic transformations of functions.

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: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

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Q: 5x g(x) x2 C = 0 + 3x - 4 g(x) n = 0 8.

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Q: 4. f(x) = 3x - 6 %3D 4

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Q: Зх — 4 f(x) = Зх — 6 f(x) = x2 – 9

A: (i) As f(x) is a fraction, it is undefined when the denominator becomes 0.  Equating the denominator…

Q: 1. g(x) (-2.5)"

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Q: 18. (f – g)(x + 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: Let f(x) = 5x-1 and g(x)=x² + 4. Find (fog)(-3). Then (fog)(-3) = (Simplify your answer.)

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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: 6. F(- 1)*-\VR k² + 1 k = 1 8

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Q: 4. g(x) = (3x − 2)4; g"" (x)

A: We can find the derivatives as below

Q: R6 1. Integrate the following: 7x2 ( 10x3 + 79 )0.5 within the range 5 and 9. (Please give your…

A: Topic = Integration

Q: 7. f(x)=5x- 3. For what value of x does f(x) = 32?

A: We have to find x

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: 4 f(x) = 4 – x + ,3 x* 3

A: Critical values are attained at the points where f'(x) = 0, i.e., the derivative has the value 0.

Q: 3x2 + 8x + 6 If f(x) = then: f'(x) = f'(2) =

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Q: y 5 4 f(x) 3 g(x) 2 2 3 4 -1 1. 1.

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Q: For what values of x is fAx) = x' + 3x - 1 increasing? Explain.

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Q: 5. The profit function from the sale of x skateboards is given by P(x) = 30x – 0.3x² – 250 0<x< 100…

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Q: 10) f(x) = x³ + 2 f"(x) = ?

A: Given query is to find the indicated inverse function.

Q: 5. g(x) = х+1

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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: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: 1 g(x) = (3x3 + 5x + 4)3/4 g'(x) = Need Help? Read It

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Q: 2 g(x) -1- 3 6.

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Q: 2. Consider f (x) = 2x3 – 3x2 – 59x + 30. Part A: Determine if (x – 5) is a factor. Part B:…

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Q: (a) g (x)=x² -9 -69 8(5) = 8(-3) =

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

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: (g⋅f)(−6)f(x)=5x+4,g(x)=−2x2+5x−6

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Q: 5 e2x_x²+1 x³+2x²+4 find f' ( x II

A: