find an equation for the inverse function f(x) = 5x + 6 f(x) = log(x − 11) + 8

Q: Find the domain of the logarithmic function :  f(x) = ln(x2 - x - 2)

A: Inside log we can not have negative number. So, x2 - x - 2>0

Q: Consider the function f (x) = log10 x.   When f (x) is increased by one unit, x must have been…

A: For the function f (x) = log10 x..............................................(1)   When f (x) is…

Q: Find the domain of the function h(x) = log3(x + 6)2.

A: Given function: hx=log3x+62

Q: Find an exponential function of the form f(x) = bax + c for the graph.

A: Given function-  f(x)= bax+c ----(A)  The curve (A)  is passing through ( -1,9) So putting x=-1 and…

Q: Find the inverse function of f. f(x) = log2(x - 1)

A: We have to find the inverse of function f: fx=log2x-1 To find inverse of any function we need to…

Q: Find the domain of the function. F(x) = log2 x2

A: To find the domain of the function: F(x)=log2x2 Solution: We know, The logarithmic function is…

Q: Differentiate. g(x) = log 23 (5x-4) g'(x) =

A:

Q: Suppose f(x)=3•27x , find a constant b such that the graph of log b f has slope 1. b=?

A: Given

Q: If f(x) = log3 x, find f - 1(x).

A: Given f(x)=log3x

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

A:

Q: Find and equation for inverse function: f(x) = log(x − 11) + 8

A: Given the function,

Q: If f(x) = (6x – 4)° (2x² + 8)*, find f'(x) using logarithmic differentiation. |

A: y = 6x-432x2+84 Taking log both side , log y = log 6x-432x2+84 logy = 3log6x-4+4log2x2+8 {log(mn)=…

Q: Find a formula for the inverse of f(x) = -1+ log2 x.

A: Given function is : fx=-1+log2x To find the formula of the inverse.

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: The percentage of adult height attained by a girl who is x years old can be modeled by…

Q: Find the inverse of f(x)=log(x)/(1-log(x))

A:

Q: Determine the inverse of the exponential function, y = 2*+3. O y= logs(x)+2 Oy= logx)+5 Oy- logg-5…

A: To find the inverse function, swap x and y and solve the resulting equation for x.

Q: Differentiate the function with respect to x f(x) = 2* · log37*²-4

A: If hx and gx are two differentiable function and fx=hxgx Then f'x=gx×ddxhx+hx×ddxgx

Q: What is the inverse of the function f(x) = log5(-x – 3) ?

A:

Q: Find the inverse of y=log1/5x

A: In inverse function y beacome x and x beacome y.

Q: Find the domain of the function. H(x) = log5 x3

A: The given function is H(x) = log5 x3

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Given that the percentage of adult height attained by a girl who is x years old can be modeled by…

Q: Find the domain of the function. f(x) = 3 - 2 log4 (x/2 - 5)

A: Given function is: f(x) = 3 - 2 log4 (x/2 - 5) We have to find the domain of this function.

Q: Find the domain of the logarithmic function : f(x) = ln(x - 7)2

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

Q: Differentiate f (x) = loge (x26")

A:

Q: What is h′(x) when h(x)=log 7 (8x+4 / x 6 7 x)?

A: Consider the function

Q: Find the domain of the logarithmic function f(x) = ln(x2 - 4x - 12).

A: Given :         f(x)= ln(x2-4x-12).

Q: Differentiate (a) f(x) = 43 x and (b) f(x) = log2(x 2 + 1).

A: We have to differentiate the given function    the given function is    (a) f(x) = 43x   (b) f(x)…

Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: differentiate the function f(x)=(x+ log3x)2

A: →Use chain rule of differentiation.→dxndx = n xn-1.→dlogaxdx = 1x logea                        = 1x…

Q: log, x+ 2) <0

A:

Q: Determine the equation of the inverse of y = 2x-1 Oy = 3. log,x+1 O y = 2- log,x+1 log,x +1 y = - 3…

A:

Q: If p(x)=(x3+2x)^sinx, find p′(x).  Enter an exact answer in terms of a natural logarithm.

A: As the given function :- P(X) = ( X3 + 2X )sinx  P'(X) = ?

Q: - f(x) = - f(x) = x-2 g(x) = 5 In x - 2* g(x) = 4x' log, x %3D f(x) = 10* · e*

A: Solution of question is written in below steps.

Q: Find the inverse Function to the function: f (x) = 3 log(2x - 1) +5 %3D

A: To find the inverse function , swap x and y , and solve the resulting equation for x .

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

A:

Q: Find the equation of an exponential function of the form f(x) = a · bº that passes through the…

A:

Q: Find the domain of the logarithmic function : f(x) = ln(x2 - 4x - 12)

A: Our Aim is to find the domain of the logarithmic function:-f(x)=ln(x2-4x-12) -(i)

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 inverse of f ( x)= logx?

A:

Q: Find the domain of the function. x+4 h(x) = log ɛ %3D

A: We have to find the domain of the function h(x) = log8x+4x.

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

A:

Q: 1.Solve by logarithmic differentiation (x+1)(x+2)(x+3)2 Y=In( V(x+3)3(x+4)4

A:

Q: Find the inverse function to the function f(x)=3 log(2x-1)+5

A:

Q: a) f (x) = 7x log 3x b) f (x) = 3*

A:

Q: f(x) = 3x + log(9x − 8), find f(2). f(2) = ?

A: Given a function f(x) , need to find f(2).

Q: solve, g(x)=-3(1/5)x + 2 where g(x)= 0(using log may be) leave it in exact form not decimal.

A: Given that g(x)=0 So we will plug g(x)=0 and solve for x