use the pair of functions to find f(g(x)) and g(f(x)).  f(x)=√x+4 g(x)=x^2+3

Q: Use the Quotient Rule to find f'(x). 2x-1 (a) f(x) = 2x+1

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: The function C(x)=10x+5,000 represents the cost to produce x number of items. How many items should…

A: SOLUTION-

Q: Find the range of the quadratic function F(x)= 3x^2+6x Use interval notation

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Q: Find the point at which the line f(x) = 3x – 9 intersects the line g(x) 3x + 9 -

A: The function f(x)=3x-9 and g(x)=-3x+9 intersects when f(x)=g(x).

Q: Find the absolute maximum and absolute minimum values of f(x) = r3 – 9x2 + 24x – 3 on [2,5]. -

A: Given:- f(x) = x3 -9x2 +24x-3  To find:- Absolute maximum and minimum of f(x) in [2, 5]

Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

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Q: Find the slope of f(x)=3x−2 at (4,10).

A: The slope of straight line is constant for every value of x. We observe that the given function…

Q: Find the inflection point of the curve f(x)= x³ – 12x²+7x+1.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: Find the critical points of the functionf (x) = 4x³ – 3x and the inflection point of the function…

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given quadratic function R can be written in the form ax2+bx+c=0 This function has minimum value if…

Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

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Q: Find the point at which the line f(x)=5x+14 intersects the line g(x)=−2x (_,_)

A: Given that,  Line f(x) =5x+14 and line g(x) = -2x intersects. So, both the function gives the same…

Q: Find the range of the quadratic function f(x)= -x^2+4x-6 interval notation

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Q: urve: f(x) = x4 − 6x2

A: Given,          f(x)=x4-6x2

Q: What is the relative maximum value of f(x) = x³ – 3x + 2? -

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Q: Find the slope of f(x) = -3x2 – 6x at x = 1

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Q: Find the critical points of the function f (x) = 2x³ – 9x² +12x+47. Show all your work.

A: Firstly we find the derivative of the function and then put it equal to zero and find the x values…

Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)

A: First simplify the given function as follows.

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: Find the absolute maximum and absolute minimum of the function f (x) = x³ – 3x²+8 on the interval…

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Q: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

A:

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of…

Q: Find the slope of f(x)= (x^2-1)-(2x-3) at x=2

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Q: Find the point of f(x) = 2x3 - 9x2-17x - 3 is at [0, 00) on which concavity changes. %3D

A: We draw graph of given function.

Q: What is the maximum value of the function f(x) = −x2 + 2x + 4?

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given revenue function

Q: What is the maximum value for the function f(x) = -x² + 2x+ 2?

A: The function is given by f(x) = -x2+2x+2 To evaluate : The maximum value of the function.

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: Solve the problem

Q: Find the point at which the line f(x) = - x – 2 intersects the line g(x) 3x + 6 %3D

A: f(x) = g(x) Thus, -x-2 = 3x + 6   Separate variables to LHS and constants to RHS -x-3x = 6 + 2 -4x =…

Q: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: Find the third degree function that has zeros 7 and -11i, and a value of 663 when x=10

A:

Q: Consider the function F(x)= (x+2)^2 for the domain [-2, ∞)

A: Given           Function is :                            F(x)=(x+2)2 for the domain [-2, ∞)   To…

Q: Find the inflection points of f (x) = x* +x – 30x² + 6. Enter the exact answers in increasing order.

A: Given function  f(x)=x4+x3-30x2+6

Q: Find the absolute maximum and minimum values of  f(x)= 3x4 - 2x3 - 63x2 on the interval [-2,3]

A: Find absolute extrema for the function.

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given : A manufacturer finds that the revenue generated by selling x units of a certain commodity is…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: Find the point at which the line f(x) = 2x – 3 intersects the line g(x) = 5x – 6. %3D

A:

Q: If f (x) = 3x + 7, find: %3D f(-2) = [ ? ]

A: Given,     f( x ) = 3x + 7

Q: Find the point on the graph of the line f(x)=3x+4 that is closest to the point (6,3) x= y=

A:

Q: Evaluate f (2) for the square root function f(x) = V5x + 6

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Q: Find the abscissa of the points of inflection f(x) = -x* - 2x3 + 3x2 + 4x – 4

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Q: Find the domain of the function V5 +4x f(x) = x2 – 36 and write your answer in interval notation.…

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Q: Find a formula for the linear function with slope −3 and x-intercept 2.

A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…

Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: Let f (x) = 2x and g (x) = 3x² + 1, find(go g) (x). Show your work using the Equation Editor Tool.

A:

Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

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Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)

Q: Find a formula for the quadratic function whose y-intercept of y = 3 and x-intercepts at x = 1,…

A: Given: y-intercept y=3 x-intercept at x=1,4

Q: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.