The domain of a function f(x) is {x∈R|−4≤x≤16}. The range of f(x) is {y∈R| −8≤y≤12} Given g(x) = (3/4)f(−x+3) + 5, what is the domain and range of g(x)

Q: The critical points of the function f(x) = a2– 14x + 12 are

A: Given function is f(x) = x2 - 14x + 12 Critical point of the function is the point in the domain…

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: What are the solution sets if f(x)0 , and f(x) greater than or equal to 0

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: The function f(x) = 2x³ – 36x² + 192x - 3 has two critical numbers. The smaller one is x = and the…

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Q: Given f(x) = x - 2x+2, find the value(s) for x such that f(x) = 10. The solution set is

A: We have to find the values of x such that fx=10 for the given function: fx=x2-2x+2 Putting value of…

Q: Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25

A: We have to solve for the function f(x) when f(x)≥0. Given function -  f(x)= x2 + 6x - 7x2 -10x + 25

Q: The profit function of a certain firm is f(x) = -6x² + 1188x - 1200, where x denotes units of…

A: The profit function is fx=-6x2+1188x-1200 Here, x is the number of units produced. Part a We need to…

Q: If g(x) = max {x, 1/x} what is g(x) when x ϵ N2 (.5)?

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Q: The function f(x) = 2x³ 30x? + 54x 6 has two critical numbers. The smaller one is x = and the larger…

A: We have to find

Q: Find the critical points of the function f(K)-7x2-14x.

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Q: If p(x) is the total value of the production when there are x workers in a plant, then the average…

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Q: The cost and revenue functions for a certain firm are given by C(x) = 14x + 20,000 and R(x) = 22x,…

A:

Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

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Q: Find the critical points and inflection points of f(x)=(x-4)^3

A: Critical points of a function f(x) are those points where the first derivative i.e f'(x) =…

Q: Can you check it please?

A: To verify thesteps in the  simplification

Q: ,if 0<x< n2 ) = }e** ,if 0 < x <n2 0, otherwise 8x+2 f(x) :

A: The range of x is (0 π^2), is it right?

Q: For what values of the numbers a and b does the function f(x) = axeba2 have a maximum value f(2) =…

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Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

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Q: If g(x) = x3 and h(n) = 4n − √(n), what is (h ◦ g)?

A: g(x)=x3h(n)=4n-n

Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

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Q: Find the critical points and determine whether they are minima, maxima, or neither: f (x) = x2/3(1 −…

A: Given: fx=x231-x

Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: Find the critical points and determine whether they are minima, maxima, or neither: f (x) = x2(x +…

A: Given f(x)=x2(x+2)3 differentiate the function to find the critical points.…

Q: 4. Given f(x) = v3 – e2, find the domain of f and f-1.

A:

Q: Find the critical points of the functionf (x) = 4x³ – 48x+2. O a. 2,3 O b. -2,-1 O C. -3,3 O d. -2,2

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Q: The critical points of the function f(x) = 4x³ – 48x +1 are a. 2,– 2} b. d.

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Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: the total daily profit of a certain food company for the sale of boxes of buko is given by the…

A: Given: The total daily profit of a certain food company for the sale of boxes of buko is given by…

Q: Find, if any exist, the critical values of the function f(x) = x* – 8x³

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Q: The critical values of f ( x ) = x 2 e − x 2 are?

A: Given, f(x) = x2e-x2      Critical point of function is a value of X in domain of function at which…

Q: Find f'(x) for f(x) = e* - 5x.

A: Given : fx =e4x2-5x

Q: 2. GIVEN g(x) = / x³-3x² + 3x-1/. FIND g (-4)

A: Formula: (a-b)3=a3+3a2(-b)+3a(-b)2+(-b)3 (a-b)3=a3-3a2b+3ab2-b3.

Q: If g(x) = x2+4x with x greater than or equal to -2, find g-1(5).

A: g(x) = x2+4x with x greater than or equal to -2Let g^-1(5)=x where x is greater or equal to -2,so we…

Q: The cost and revenue functions for a certain firm are given by C(x) = 14x + 20,000 and R(x) = 22x,…

A: Given: C(x) = 14x + 20,000  and R(x) = 22x Profit function P(x) is given by : P(x)=R(x)-C(x)…

Q: For what value of X does the function f(x) =x² - 9x² - 120x +6 nave a relative minimum? A) 4 10 -4 3

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Q: Find f'(x) for f (x) = v5+ e2x

A: Given,          fx=5+e2x

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: Find the critical point for the function f(x)=5x2. 4 - 1 40 none O 18 O 4

A: Given function is                                                f(x)=5x2-x4 we have to find…

Q: Let f(x):4x1 and gx):3x+x find the Value of X for Which (fog) (x)=(30f)x

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Q: Find a number c that satisfies the conclusion for f(x) = x + x-1 on the interval [0, 2]

A: Answer is 2/√3

Q: the total daily profit of a certain food company for the sale of boxes of buko is given by the…

A: Given that the profit function is: Px=-0.001x3+0.1x2+3x-300 Then we get,…

Q: ind the values of k for which f(x) = kx3 -9kx2+9x+3 is increasing on R

A: Definition used -                  Interval of increase -                    A function f(x)…

Q: The function f (x) 4 +3 3x2 + 20 has all the following critical points except 3 -- (А) 4 (в) 2 -3

A: For critical points put first derivative=0

Q: The sales function for a product is given by S(x)=127+30.6x2−0.6x3S(x)=127+30.6x2−0.6x3, where x…

A: Given Sales function for a product is, S(x)=127+30.6x2-0.6x3,  where x represents thousands of…

Q: Find f(0) iff (x) et?

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Q: What is the range of {(x,x³) | x E N} ?

A: Solution - Domain is the set of natural number. x € N  X = (1,2,3,4,5,...........)

Q: Find f (x) given f "(x)= 6x² +8x³ – x and the initial condition f(-1)=- 2

A: