write a formula for the function g(x) obtained when the graph of f(x)= 1/x is shifted down 4 units and to the right 2 units

Q: Suppose that the population of some state in 2010 was P = 36 million and its annual percentage rate…

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Q: functions f and g? f(x)=2x

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Q: Sketch the graph of f

A: we have to sketch the graph of f firstly, put a=2, 3, 4..........so on  the we draw the graph of…

Q: s rate of change of the function at the given x-value. f(x) = 3x2 + x − 3 at x = 1

A: Given: fx=3x2+x-3 To find rate of change of f(x) at x=1

Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

A: Solution : Given that the figure is

Q: Consider the function f(x) =3 on the interval [1,5]. A graph of the function appears to the left.…

A: SOLUTION-

Q: For the function, supply f(x) = e-3x f(x) = Use technology to compute the missing values in the…

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Q: Solve f(x) = (1/5)x where f(x) = 0 ( do not convert it to decimal form)

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Q: Find a so that the graph of f(x) = loga x contains the point (2, 2).

A: Given that the graph of f contains the point (2,2). Thus,  f2=2loga2=2

Q: Make a complete graph of the following function. ƒ(x) = x ln x

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Q: Find an equation for f(x) using the secant function. (x) f(x) 10 x 3 -2 n 2) 2. 4. 6.

A: we will find the equation of fx using secant function. Let a function: fx=asecx By using graph we…

Q: 5. The temperature of air in a room in Degrees Fahrenheit is represented by the function t(x) =…

A: Temperature in degree Fahrenheit is given by the equation  t(x)  =  8x + 21   x is the number of…

Q: k(x) = 2 + 3 ln x (0< x< 10) %3D

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Q: Let y represent the temperature (in °F) of an object in a room whose temperature is kept at a…

A: The object cools from 100°F to 90°F in 10 minutes.

Q: 8) For the function f(x) = Vx – 4 a. Graph f (x) b. Graph f-1(x) c. Write an equation for f-1(x)

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Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A: find out the first and second derivative.

Q: Use a calculator to graph f(x). Use the graph to solve f(x) > 0. (Ent F(x) = +2 %3D f(x) > 0 when x…

A: Graph of function

Q: A person’s life expectancy can be modeled by the function g(x) = 10.761 ln(x + 1) + 27.98, where…

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Q: A company sells an inexpensive accounting program for home computers. If it can sell x programs per…

A: Revenue per week=Number of items sold per week×Cost per item

Q: 1. Given the function f(x)=(1+x*)*, find f'(). (to three decimals accuracy)

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = log3(x² – 4)

A: We need to find the domain of gx=log3x2-4. The domain of a function is the set of input or argument…

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: Find the domain of function ƒ(x) = ln(x2 - 9)

A: The given function is fx=lnx2-9. It is known that logarithmic functions are defined only for…

Q: Express the given quantity as a function f(x) of one variable x. the perimeter of a rectangle of…

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Q: 1. The height of a ball thrown by player is given by the function h(t) = -( (18 + m)t + (3 + m),…

A: Given: It is given that the height function is h(t)=-(7+m)t2+(18+m)t+(3+m) where t is time and m=5.…

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: Find the equation of the line tangent to the graph of the given function at the point with the…

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Q: Graph the function g (x) = log; (x + 1) and give its domain and range using interval notation ? 图

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Q: 9) Differentiate the following function. Simplify your answer as much as possible. Show all steps y…

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Q: Find the slope of f(x)=ln(7x) at (6,3.74). Use a graphing utility and round to the nearest…

A: The objective is to find a slope and use graphing utility and round to the nearest hundred.

Q: help!

A: Given function is

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

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Q: If g(x) is the f(x)=x after a vertical compression by 4/5, a shift right by 3, and a shift down by…

A: As we know that the graphical transformation. fx→afx, the graph compresses by ''a'' units along the…

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = log2(x + 6)

A: The given function is f(x) log2(x+6).

Q: Draw the graph of f(x)=2-|x|, and use it to find the value of (2–|æ|) dx . -2 Write your answer as…

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Q: b. Identify the function's local and absolute extreme values, if any, saying where they occur. g(x)…

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Q: Sketch the graph of f

A: given,           fx=logax-2

Q: Find the domain of the function. (Enter your answers using interval notation.) (a) f(t) = In(6t - 7)…

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Q: Identify the function's local extreme values, if any, saying where they occur. 6x X- f(x) = e + e…

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Q: Find the domain of the function. (Enter your answer using interval notation.) h(x) = Vx - 5 - log7(6…

A: See the attachment.

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: h) f(x) = |Inx|

A: Sketch the following function showing in the given expression.  f(x) = 1/|lnx|

Q: For sketching the function y = 3-e² 2e² determine the following

A: Note: As you asked only for subparts 4, 5, 6, and 7 so, I answered here only that.

Q: Find  f' in terms of g' .

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Q: Make a complete graph of the following function. g(x) = x2 ln x

A: Make a complete graph of the following function. g(x) = x2 ln x

Q: The formula for the growth rate of a population in the presence of a quantity x of food was given as…

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Q: On the graph of f(x) = = 1? Choose all answers that apply. = cscx and the interval [-2n, 0), for…

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Q: A drug is injected into the body in such a way that the concentration, C, in the blood at time t…

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Q: Given that f(x) = log5 x, where x = {-3,-2,-1,0,1,2,3}- a. Find the values of x. b. Sketch the…

A: a) The given expression y=log5x Since the log is always defined for positive values real values of x…

Q: 13 Given f (x) = 6ª and g (x) = log; x . a) Describe how the graphs of the functions are related. b)…

A: a) f(x)=6x is an exponential function. Its graph can be drawn like  For the function g(x)=log6x,…