The amount of garbage, G, produced by a city with population p is given by the function G(p). G is measured in tons per week, and p is measured in thousands of people. (a) The town of Belmont has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function G. (b) Explain the meaning of the statement G(5)= 2.

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(x): 4x2 + 3x - 1

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Q: What is a reasonable domain for the function f(x) = 14x + 12?

A: A reasonable domain for the function f(x)=14x+12 is 0<x<8

Q: Let f(x) = 3x + 4 and g(x) = -2x – 3. What is (f • g)(3)?

A: f(x)= 3x+4 , f(3)= 14 g(x)= -2x -3, g(3)= -9 f(-9)= -23

Q: Find f-1(x) for f(x)=5+12x Enter the exact answer

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Q: What is the natural domain of the function f (x) = /5 – x?

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Q: I have this function: f(x) = (x + 5)/(x^3 − 9x) I think I am told the domain is {+-3,0} But why does…

A: The domain that you are told is wrong, and definitely domain will also include -5, please take a…

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = 9x2 + 8x 1

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Q: A paper airplane was thrown from the top of a tall building. The height of the paper airplane above…

A: given function of height :y=-1.5x+60

Q: Express the function in the form f ∘ g.

A: Given: Gx=x2x2+4. Let, fx=xx+1 and gx=x2. Then, Gx can be expressed as, f∘g=fgx       =fx2…

Q: function

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Q: For the function g(x)=1/3x-9 find g(6)+g(a)

A: For g(6) we plug x=6 and for g(a) we plug x=a

Q: 1. The cost (in thousands of dollars) of extracting x tons of iron ore from a mine is given by the…

A: Given: The cost of extracting x tons of iron ore from a mine is given by the function C=p(x). To…

Q: AB2: Let h(x) = f(5x-9). Find h'(3).

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

Q: What is f (g (3)) ? f (x) = 3x² + 1 g (x) = -x +2

A: f(g(3)) also written as fog(3) is know as composition of function. Here, x-values are input in g(x)…

Q: 4. For the function f(x)= 7x - 5 apply the difference quotient simplify your answer. f(x+h)-f(x) h…

A:

Q: how do you evaluate the function f(x)=x^2+4x-7 at f(-x)?

A: To evaluate the function at f (- x).

Q: for the function g(x)=(1)/(2)x-8, find g(4a)-g(a)

A: g(4a)=124a-8 g(4a)= 18a-8 Now g(a) = 12a-8

Q: Which value of X is not in the domain of the function G(x)=26/15x-29" I am a little confused by the…

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Q: The total number of audiences who went to watch movies in a certain cinema from January to December…

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Q: 2. Use the function f(x) = -3x + 7 to answer the questions. a. What is f(0) ? b. What is f () ? c.…

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Q: The United States wine consumption can be modeled by the function f(x)=0.004x^2-0.094x+2.607 where x…

A: The function is fx=0.004x2-0.094x+2.607.   Substitute 25 for x in the above function.…

Q: Graph the function by using its properties. f(x) = −x2 + 8x − 16

A: Let f(x)=y ⇒y=-x2+8x-16⇒y=-(x2-8x+16)⇒y=-(x-4)2⇒(y-0)=-(x-4)2 which is comparable to (y-k)=A(x-h)2,…

Q: -16? 61. What is the domain of the function f(x)} 29

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Q: Vx-2 +2 x2 - 9 What is the domain of the function f(x)=

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Q: Evaluate the function at the given value of the indépendant variable and simplify . g(x)=x^2-10x-3…

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Q: Find the value of f(-142) for the function below. f(x) = -0.2(x + 223)

A: To find the value of f(-142)

Q: pretty dish can be determined by the function below.  b(t)=2(3)^t Which statement represents the…

A:

Q: What is the upper bound of the function? f(x) = 4x4 - 25x² - 5x - 13 Enter your answer in the box.…

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Q: What does the 5 represent in the function f(x)=5(2)^x?

A: Explanation of the answer is as follows

Q: Is f (x) = 4 - 12x + 9 an odd function, an even function or neither? Justify your answer.

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Q: The function S(x)= -x - 3x + 72x + 900, x 22, is an approximation to the number of salmon swimming…

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Q: What is (f + g)(x)? f(x) = -2x g(x) = x² - 7x + 6

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Q: The domain of the function f(x)= sech-1(21 - ) is [380, A), Then The value of k = The value of A =

A: Given function is f(x)=sech-121-xk Since sech-1x=ln1+1-x2x here, 1+1-x2x≥1 ⇒ either x≥0or x≤1

Q: Which is a reasonable domain for the function f(x) = 14x + 12?

A: our objective is to find the domain

Q: For what values of x is the function f(x) = |x2 − 9| differentiable? (Enter your answer using…

A:

Q: At x = 3, the function given by f(x) = (x² (6х — 9 x < 3 x 2 3

A: Given: fx=x2          x&lt;36x-9    x≥3

Q: f(x) = x4 + x? In order to check even, odd, neither, I need to check to see what f( – x) simplifies…

A: If we have to check either a given function f(x) is odd or even we replace x in the function by (-x)…

Q: 3) For the function f(x) = -2x+5, find and simplify the expression for f(3x) – 3f(x).

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Q: (b) Given that f(x) = 8(x*) g (5) = 3 and g(5) = 5, find the value of f (5).

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Q: An apartment complex has 500 apartments available to rent. The function p (x) = -8x2 +3000x – 95000…

A: Consider a function f(x). The domain of the function is all valid values of x on which the function…

Q: 3 4. Find the domain and range for the function f(x): 1- c2r

A: Given: The function fx=31-e2x, To find: The domain and range of the given function.

Q: nd the domain of the function. (Enter your answer using interval notation.) g(x) = 5x2 + 4x - 1

A: Topic:- function

Q: The total revenue for Dante's Villas is given as the function R(x) = 300x – 0.5x?, where x is the…

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Q: Find f-1 (x) for f (x) = 15 + 12x. Enter the exact answer.

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Q: Find the domain of the function. g(x) = 5x+5 What is the domain of g?

A: The given function is gx=5x+5To find its domain

Q: 54. During a flu outbreak in a school of 763 children, the number of infected children, I, was…

A: As two questions are given, I will solve only the first one : We are given :I=192 lnS762-S+763…

Q: The function f(x) g(x) = 2x + 22. What is the value of k? = 2x + 4 was replaced with f (x + k)…

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Q: Find f(-2) for the function f(x) = 3x2 – 2x + 7. 2 -13 B -1 1 23

A: