If f(x) =3 ln x and g(x) = e2 , find go f(x). %3D

Q: Determine the y-intercept of the exponential function h(x)=e^x

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Q: Find the exponential function f(x) = a whose graph is given. f(x)

A: GivenThe graph of the exponential function which is in the form f(x)=ax

Q: Find the exponential function f(x)=a^x that passes through the point (−3,1/27) and has a y-intercept…

A:

Q: Graph Y1 = log(x2) and Y2 = 2 log(x) using a graphingutility. Are they equivalent? What might…

A: the two function are , y1=log(x2) and y2=2log(x) . the graph of the two function will be as follows

Q: if g(x)= 4x ln x, find g’(x)

A: Given data: The given function is g(x)=4x ln(x). The expression for the derivative of the given…

Q: 5. For y = -ln(x), find the value of x where the slope is a) x = − 6 b) -In(6) d) Does Not Exist

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Q: Find the equation of the vertical asymptote f(x) = log(x – 1)

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Q: Find the equation of the vertical asymptote f(x)=log(x+5)

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Q: Find the function of the form y = loga x whose graph is given.

A: Graph of the function is given we have to find its equation of the form y=logax Formula:logax=y…

Q: If ƒ(x) = (7x − 2)² · (8x² + 8)ª, find ƒ'(x) using logarithmic differentiation

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Q: Find the domain of y = log(2 – lx). The domain is:

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Q: log, x2, then y has

A: We will find out the required value.

Q: what value is the best estimate for X ln 7 = 20 (1/3)^x

A: The given equation is- xln7=2013x Differentiating w.r.t. x to both sides-…

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

A:

Q: Find the deri vative OF +he exponential function: y = arcsin e*

A: Given function - y = sin-1e-xDifferentiating on both sides with respect to x - dydx =…

Q: Find the exponential function f(x)=a^x whose graph is given. f(x)=

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Q: State the main features of the graph of y = ln x.

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Q: Differentiate the following function.   y = e2 ln(2x+1)

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Q: Find the function of the form y = loga x whose graph is given.

A: Let the function of the form y=logax Given graph:

Q: Find the equation of the vertical asymptote f(x) = log(x + 5)

A:

Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from horizontal…

A: Graph of y = lnx

Q: A function defined by y = ab can be written in terms of an exponential function base e as

A: The function is y=abx

Q: Find the equation of the vertical asymptote f(x) = log(x + 4)

A: Given,                f(x)= log(x+4)

Q: Find the equation of the vertical asymptote f(x)= log(x+1)

A: The equation of the vertical asymptote f(x)= log(x+1)

Q: The half-life of a radioactive material is the time required for an amount of this material to decay…

A: Given,

Q: Prove: logaxr = r loga x.

A: Given equation: loga xr=r loga x

Q: Find a formula for f n  x if fx = ln (x-1)

A: Given, f(x)=ln(x-1) differentiate with respect to x, f'(x)=1x-1 Again differentiate with respect to…

Q: Solve for when the population increases the fastest in the threshold logistic equation : 1000 P'(t)…

A:

Q: An investment pays out 800,000 Mexican pesos per year, continuously for 5 years. Find the PV of the…

A: Given, AmountA=800,000t=5 years

Q: Find the function of the form y log,(x) whose graph is given.

A: Given that: Graph of f(x)

Q: Using the linearization of f(x)=log,x, Approximate the value of log,30

A: Explanation of the answer is as follows

Q: Find a so that the graph of y = logax passes through the point (e , 2).

A: Given,

Q: f(x)=9^(x)log5(x) f'(x)=?

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Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount…

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Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

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Q: Find the linearization of the natural logarithm f(x)=lnx at x=1.

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Q: Find the exponential function f(x)=a whose graph is given as:

A: From the graph we can see that the value of function at x = -1 is f(-1) = 3   Now we will look the…

Q: If f(x) = (3x – 5)* · (7x² + 7)*, find f'(x) using logarithmic differentiation.

A:

Q: By 2019, nearly $1 out of every $5 spent in the U.S. economy is projected to go for health care. The…

A: The figure is:

Q: For an exponential function f(x) = Cax ,f(x + 1)/f(x) =  ________.

A: The given function is fx=C ax. This gives fx+1=C ax+1.

Q: Find the exponential function f(x)=a whose graph is given as

A: Here we have to find the exponential function whose graph is

Q: Find the formula for an exponential function that passes through the two points given. (x, y) = (0,…

A:

Q: Find the exponential function f(x) = a whose graph is given. %3D f(x) =

A: Given, f(x)=ax

Q: if f=5 is an equilibrium solution of an equation of change involving df/dx, what is the value of…

A: f=5 is an equilibrium solution of an equation of change involving dfdx.

Q: g(x) = e× In x12 g'(x)=

A: topic - derivative of a function

Q: Solve for when the population increases the fastest in the threshold logistic equation : 1000 P'(t)…

A:

Q: Vx²-1•sin x y%3= %3D (2x+3)4

A: To find: The derivative of y=x2-1·sinx2x+34 using logarithmic function. Formula used: The derivative…

Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

A:

Q: what is the average rate of change of f(x)=log2(x) between 4 and 32. write the answer as a fraction

A: It is average rate of change.