Suppose that   G(x)=log3(2x+1)−214          a.   What is the domain of   G?                b.   What is   G(13)?  What point is on the graph of   G?     ��            c.   If   G(x)=3,   what is   x?  What point is on the graph of   G?                 d.   What is the zero of   G?

Q: 3. If ƒ(x) = log₂(−(x − 6)) and g(x) = √(x + ²) a) Determine the domain of g(x) + f(x) b) Is there a…

A: We want to find domain of g+f

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A: Given

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A: Answer: True.

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

A: Given function: hx=log3x+62

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A: Since in logarithmic function value should be positive. Therefore, in fx=logax the value of x must…

Q: The domain of definition of Rx) = /log (log x)- log (4- log x)- log 3 is %3D (b) [10°, 10*] (d)…

A:

Q: For f(z) = 3e7'the value of log(f(z)) is

A: Given,       f(z)=3eπ6i

Q: Find the domain of f(x) = log4(x - 5).

A:

Q: The graph of g(x) = 5 + log2 x is the graph of f(x) = log2 x shifted _______.

A:

Q: log(2² – 2y² – 4x²) In(2 – |2|) - g(x, y, z) = -

A:

Q: . Given x = 22 log3 (9) , what goes in the blank of y

A:

Q: The graph of the function f(x)=log6(x) is stretched vertically by a factor of 7, reflected over the…

A: our objective is to find the function.

Q: Find the domain of the function. g(x) = log5 (x + 1/x )

A: f(x)=log5x+1x

Q: Which of the following represents the domain of h(t)=−log(x)+3?   (2,∞) (−2,∞) (−∞,∞) (−∞,0) (0,∞)

A: Given function :

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A: Given: The parent function is f(x)=log5(x). Transformations: 1) Stretched vertically by a factor of…

Q: The derivate of y = 4 logx? – 5*² is | 8. 8. (2x) 5* In 5 5 x² In 10 x In 10

A: Derivative of the function

Q: f(x)=log3(x+6)+log31 and g(x)=2log3(x). For what x-value will both functions have the same value ?…

A:

Q: consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of…

A: Given that g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?

Q: 2. The expression log(3 + x) is undefined for what values of x?

A:

Q: Suppose that G(x)=log2(2x+2)-2 What is G(3)? What point is on the graph of​ G?

A: Given function

Q: Find the domain of f(x) = log4(x + 3).

A: We have to find the domain of logarithmic function: fx=log4x+3 We know that for any logarithmic…

Q: The graph of g(x) = log3(x + 5) is the graph of f(x) = log3 x shifted_______.

A: Given: The function gx=log3x+5 and the function fx=log3x To compare: The graphs of given function.

Q: Find the domain of f(x) = log(x^2-3)

A: Solve by using properties of logarithmic function

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A: Given: The parent function is f(x)=log10(x). Transformations: 1) Stretched vertically by a factor of…

Q: 13. The following functions are given: log3 X +3 4x-15 ● f(x) = g(x) = 2x+8 What is the value of f o…

A: To solve the following problem

Q: If f(x) = 3 log4 (x+2) - 1 and F(g(x)) = g(f(x)) = x, then what is g (x)?

A:

Q: Given the function y = log3 (x – 2) + 1, what is the equation of the asymptote?

A: Equation of the asymptote of the given function y=log3x-2+1

Q: Suppose f(x) = log(Va- 5) and g(x domain of (f – g)(x). T-25 %3D State the x2-30x ||

A: In the given question, the concept of domain is applied. Domain The set of a function's available…

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: Wha is the derivative of exp(22²)? ○ 4a exp(2x²) exp(2x²) 2x² - exp(22²) exp(4x) ○ 4x exp(4x) ○…

A:

Q: Choose the function to match the graph. Of(x) = log x + 5 Of(x) = log x-5 f(x) = log (x + 5) Of(x) =…

A: Here Function value is 0 at x=6 , (from Graph)   and we know that log(1)=0  so at x=6,   log(x-5)…

Q: Given that logp q = x 2 and logq p = 1 2x−1 , find x

A:

Q: The graph of g(x) = log5(-x) is the graph of f(x) = log5 x reflected about the________ .

A: The graph of gx=log5-x is the graph of fx=log5x reflected about the________.

Q: Q1- Given the values of x presented in the following table: X: 654 658 659 661 If f(x;) is log10 of…

A: Given table, xi 654 658 659 661 and fxi=log10xi To find the value of log 656 using Lagrange's…

Q: Graph the given functions  f(x) =4x    and   g(x) = log4X  on the same graph b)  Explain the…

A: Graph for both functions.

Q: Graph the given functions  f(x) =4^x    and   g(x) = log4X  on the same graph b)  Explain the…

A:

Q: If f(x) = log12(V3x* + x² + 4), find f'(x). Use exact values. f'(x) =

A:

Q: For f(z) = 3e6'the value of log(f(z)) is

A:

Q: a- Simply the following 1. Inx – In(x2 – 1) + 2ln(x + 3) 2. 5log2 + log3 - log8

A:

Q: Find the value/s of x in the following equations/inequalities. 1. log3 (x+ 4) = log3(2x – 4) 2.…

A: We can answer question no 3 and 4 as below

Q: The value of x for: log. (e) +4g(9 =x'log(10) is:

A:

Q: log x is the exponent to which the base 10 must be raised to get. So we can complete the following…

A: The given statement is  log x is the exponent to which the base 10 must be raised to get _____   log…

Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

A:

Q: Given the functions f(x) = log2(4x) and g(x) = 4x – 3, which of the following statements is true?…

A:

Q: What is the Domain of the following logarithmic functions? 1) f(x) = log(3x - 21) 2) f(x) = log(2x +…

A:

Q: Draw the graph of y = 4x, then use it to draw the graph of y = log4 x.

A: Graphs of two functions which are inverses of each other are reflections of each other in the line…

Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

Q: Find the value of a so that Screen Shot 2021-10-06 at 8.48.07 AM.png 3ªx2 – 4x + 7 lim log3 = 4 3x2…

A: NOTE: As per our guidelines, I have solved first problem. If you want the answer of other, kindly…

Q: g(x) = 3 log 2x (0 < x< 10) %3D

A: Here we make the table value and draw the graph...