. a) Write the equation for the inverse of f(x)=loggx. b) Write at least three points on the of the inverse of f(x).

Q: The domain of the function g(x) = log, (x – 4) is (- 00, ) and ( 0).

A:

Q: Find f'(x) if f(x)=   and then simplify

A:

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

A:

Q: Graph the function f(x) = log,x

A: Given,         The function is fx=log4x.

Q: The product property of logarithms states that log,(xy) = numbers b, x, and y, where b 1. for…

A: The product property  of logarithms states that logb(xy) = logbx+logby   for the positive real…

Q: Which of the following functions is of exponential order?

A:

Q: The graph of every logarithmic function f(x) = loga x, wherea >0 and a ≠ 1, passes through three…

A: Points for the logarithmic functions can be found with the help of the arbitrary points. Put such…

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) = logax, show that ) = -f(x). f %3D

A: Given, f(x)=loga(x) Substituting,x=1x,in f(x) we get: f(x)=loga(x)⇒f(1x)=loga(1x)⇒f(1x)=loga(x-1)…

Q: Find an equation for the inverse function. f (x) = log (x+ 7) –5 Olog O

A: Inverse of function

Q: Find the inverse of the given function. log,(r) f'(x) =

A: Given log3x=yWe know that logba=n and this can be written as a=bn

Q: Find the inverse of the following function: f(x) = 3 log3(x + 3) + 1

A: Plug y in place of f(x)

Q: Find a so that the graph of f(x)= loga x contains the point (1/2, - 4).

A:

Q: Evaluate the following: log, a Find y in terms of x for In(y+1)=2– 3 In.x

A:

Q: Choose the domain of f(x) = log 3 (x + 2).(a) ( - ∞, ∞ ) (b) (2, ∞ ) (c) ( - 2, ∞ ) (d) (0, ∞ )

A: To find the Domain of : f(x)=log3(x+2) Solution: We know, a logarithmic function  is defined for the…

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: Determine whether f <<g or g<< f (or neither) for the functions f (x) = log10 x and g(x)…

A: Convert both lnx and log10x in terms of logx

Q: In the function y = log, (x +3), what is z in terms of y? O = 2 -3 O = 2 +3 O =3-2 O = 2y+3

A: Explanation of the answer is as follows

Q: Find the inverse of the given function. log, (æ) f '(x) =

A: Given query is to find indicated inverse function.

Q: Find the domain of the function. g(x) = log(2 + x - x2)

A: Given, gx=log2+x-x2

Q: f(x) = log, x and g(x) = b' are inverse functions. Therefore, log, b = and

A: Given, fx=logbxgx=bx

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

A: Given: fx=log3x+6 we know that in logax, domain is x>0, a>0-1

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

A:

Q: The domain of the logarithmic functionf(x)=logax is _______.

A: We have to find the domain of the logarithmic function: fx=logax

Q: The inverse function of f(x) = 2 log3 (1-x) is اختراحد الخيارات A. 3 -1o B. 1+ 3 C. 3 D. 1-3

A:

Q: If f(x) = logx, show that – f(x) log1/a x.

A: Given: f(x) = logax To show: -f(x) = log1ax

Q: The domain of log, (x) is

A:

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

A:

Q: If f(x) = log x, then f' (x) = 1/xln10

A:

Q: Find the domain of the logarithmic function. f(X) = In (x² = x-6)

A:

Q: Graph the function. g(x) = log, (r)

A: graph the function

Q: First use the appropriate properties of logarrithms to rewrite f(x), and then find f'(x). f(x) = 17x…

A: We have to find f'x and rewrite the function fx using properties of logarithmic: fx=17x+ln17x We…

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

A: We’ll answer the 1st question since we answer only one question at a time. Please re-submit a new…

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

A: Solve the following

Q: The domain of the logarithmic function f(x) = loga x is ________.

A: The domain of any function is set of allowed values of the independent variable for which the…

Q: Graph the function and its inverse on the same set of axes. f(x) =4x; f -1 (x) = log4 x

A: The inverse of a function is in a literal sense the reverse of the function. The values of the input…

Q: Find the domain of the function. f(x)= log %3D

A:

Q: Find the inverse function of f. f(x) = log 3x

A:

Q: If f(x) = loga x, show that - f(x) = log1/a x.

A: To show that -fx=log1ax if fx=logax. Solution: We know that property of logarithm is: logmnx=1nlogmx…

Q: =) Express the new function h(x) log2 in terms of the original function f (x) log, (x).

A:

Q: Find a so that the graph of f(x)= logaX contains the point (21,2)

A:

Q: Find the inverse of f ( x)= logx?

A:

Q: Consider the function y = Vx . Rewrite the function in exponential form.

A: We know that ,  eln(u)  = u

Q: 1. a) Write the equation for the inverse of f(x)=loggx. b) Write at least three points on the of the…

A: Given: fx=log8x

Q: For Exercise, find the inverse of the function. g(x) = log (x− 5) −1

A: Replace g(x) by y

Q: 12. Determine the y-intercept of the function y=log, (x+81).

A:

Q: Which of the following is the inverse of the function, y= log2(x) +2?

A: y = log2x + 2 So, log2x = y - 2 x = 2(y-2)

Q: Differentiate the functions (a) f(x)= log(base 5) [(x^2+2)/(x^3-7)] (b) g(x)= 7^(tan(x^3))

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.