Rewrite the given pair of functions as one composite function g(x) 5 x(w) = 2eW g(x(w)) Evaluate the composite function at 1. (Round your answer to two decimal places.) g(x(1))

Q: The table below gives selected values for the differentiable and increasing function f and its…

A: We will find the value of g'(5) as following.

Q: A function f(x) is given as follows: 2x + 1 f(X)* f(x) = Зх-1 f-(1) =?

A: f(x) =2x+13x-1 Weh have to find f-1(1)

Q: In a study on the speed of muscle contraction in a certain species of frogs under various​ loads,…

A: Given : In a study on the speed of muscle contraction in a certain species of frogs under various​…

Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

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Q: a function Is defined as f (x) = 2x +3, find the value of f (4). E (4)

A:

Q: The graph of function f(x) is shown below. At which value of a is the derivative of the function…

A: Explanation of the answer is as follows

Q: 3. y = 5x - sec (x) differentiate the given function

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

Q: 2. Given the function -a Show that

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Determine the extreme values of the ff. functions. f(x) = x^2 + 3 on [1,3]

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Q: Water temperature in a river is being modeled as a function of air temperature. If the degrees of…

A: Water temperature in a river is being modeled as a function of air temperature. If the degrees of…

Q: Find the point on the graph of the function f(x)=(x+1)2 that is closest to the point (-6,1). Round…

A: Plot the curve f(x) and the point ( -6, 1). Assume any general point x1,y1 on the curve f(x) and…

Q: Let be the function with first derivative g'(x) = Vx3 + x for x > 0. If g(2) = -7, what is the value…

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Q: The function f(x)=1+1.3 In (x+1) models the average number of free throws a basketball player can…

A: Obtain the average number of consecutive free throws the basketball player makes after 100 days.

Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: Does y = e9-x - 2 exist? What is the domain & range of the function if it does exist? %3D

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

Q: Use the first, and second, derivative (given below) to find the intervals of increase/decrease and…

A: Follow step 2 and 3 .

Q: 1. Determine if the function is even or odd g(x) = x³ +x, f(t) = 1 + cost

A: Given function are gx=x3+x and ft=1+cost. To determine whether function is even or odd. Solution: A…

Q: Does knowing that a function ƒ(x) is differ-entiable at x = x0 tell you anything about the…

A: Given:Does knowing that a function ƒ(x) is differentiable at x = x0 tell you anything about the…

Q: The figure shows the percentage of the U.S. popul ati on, f(x), made up of teachers as a function of…

A: Given graph is,

Q: Consider the function f(x)=2√(x)+3 on the interval [4,5]. Find the average or mean slope of the…

A: The mean slope is given by: f(5)-f(4)5-4=f(5)-f(4)1=f(5)-f(4)

Q: Differentiate and simplify this function:  e√t^2+t+1 - e-√t^2+t+1

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Q: 3. An investment of $2000 in a bank account doubles every 5 years. The function that models the…

A: Given f(x) = 2000·2x where x is the number of doubling periods.

Q: A bacteria colony grow at a rate of 11% per year. If the initial sample has a mass of 500 grams,…

A: Solution:- function is missing in the question , but according to formula i have solved the…

Q: In a study on the speed of muscle contraction in a certain species of frogs under various loads,…

A: As x increases the function of the form 1x tends to zero, i.e. 1x values moves closer and closer to…

Q: Consider the functions f(x)=ln(x2) and g(x)=2ln(x). a. Are they equivalent? If yes, explain why. If…

A:

Q: he average speed of a vehicle on a stretch of route between 6AM and 10AM on a typical weekday is…

A:

Q: Differentiate the function.

A: As=-12s5⇒As=-12·s-5

Q: The population of a Ukrainian village is currently 500. Based on the observed growth of the…

A: Given,  The population of a Ukrainian village is currently 500  After 1 year the population will be…

Q: The average rate of change of a function  f(x) = x2  between  x = 4  and  x = 9  is average rate…

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Q: Differentiate the following functions. (a) a(x) = e2 +x° + e*

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Q: Graph the following function using information from the first and second derivatives. Label all key…

A: Application of derivatives for graphs

Q: Consider the following function.  f(x)=

A: Given function is: fx=x89+2 (a) Make a sign diagram for the first derivative.

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

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Q: . The population of a city doubles in size every decade. At the beginning of the first decade the…

A: Solution-

Q: Find the slope of the graph of the function at the given input value. Round your answer to three…

A:

Q: 1. Sketch the reciprocal of the function f (x) = x - 6.

A:

Q: In a study on the speed of muscle contraction in a certain species of frogs under various loads,…

A: (A) Here, the approaching value of v(x) is the limiting value of v(x) when x tends to infinity.

Q: In a study on the speed of muscle contraction in a certain species of frogs under various loads,…

A: To find that the number to which v(x) approaches as x increases

Q: Differentiate the function.

A: Given: y=ex1-ex

Q: he function f(x) models the cost, f(x), in millions of dollars, to remove x% of a river's…

A: The function for the cost is given as fx=160x100-x

Q: Find the average rate of change of the function f(x) - 3x – 2x – 2, on the interval 2 < x < 4.…

A: NOTE: Refresh your page if you can't see any equations. . take x=2

Q: Find f ∘ g ∘ h. f(x) = x − 4,   g(x) =    x,   h(x) = x − 4

A: by composition of function.

Q: Find the local and absolute extreme values of the function on the given interval. f(x) = x - 6x² +9x…

A: The given function is: f(x)=x3-6x2+9x+2, [2,4] Now, let…

Q: 9. A population of fish increases by 8 every minute. If there are initially 1600 fish, find a…

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Q: The average weight, W, in pounds of an adult is a function, W=f(c), of the average number of…

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Q: 1. Write an equation that expresses the fact that a function f is continuous at the number 4.

A: