Each question below refers to the graphs of the functions f(x) = 10* and g(x) = logx. State whether they are true or false. If they are false, correct the statement so that it is true.

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

A:

Q: True or False The graph of f1x2 = loga x, where a 7 0and a ≠ 1, has an x-intercept equal to 1 and…

A: Answer: True.

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: Graph the functions f(x) = log2 x and g(x) = -log2 (x + 1) in a rectangular coordinate system. If…

A: The given functions are,  f(x)=-log2(x) and g(x)=-log2(x+1)

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

A:

Q: Sketch the graph of f.

A: the logarithm product property states that,…

Q: Find the value of x which satsfies the relation  log103+log10(4x+1) = log10(x+1)+1

A:

Q: Consider the function f (x) = log10 x. What is the domain of f ?

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

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

A: to find 'a' such that graph of fx=logax contains the point (2,2)

Q: Use the properties of logarithms to simplify the following functions before computing f 1x2.

A: Logarithmic functions exponential functions are inversely related to each other. For example, we…

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

A: f(x)=log5x+1x

Q: Draw the graph of the following logarithmic function, and analyze it completely: f(x) = − log(x − 3)

A: Consider the given function.

Q: Sketch the graph of f

A: Given: to obtain the graph of f(x)=log1a(x)

Q: Sketch the graph of the function: log3(x+ 1)

A: For x=-1 ,log3(x+1) goes to - infinity, that is  x=-1 is an asymptote of the curve. Again it passes…

Q: Sketch the graph of f(x) = log3(x + 2).

A: f(x)=log3(x+2)

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

A:

Q: What is the Domain of f(X) = log3X?

A: We have to find the domain of the function  f(x) = log3 x

Q: Write the equation of the asymptote for this function: f(x) = log5(x - 2).

A: This is question is about behaviour of functions at infinity

Q: Given the functions ) - logz and )-2-x which of the following is most likely the graph of-Aet?

A:

Q: Sketch the graphs of ƒ(x) = log2 (x) and g(x) = −log2 (x) in the coordinate plane.

A: Graph of logarithm

Q: Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2 x.

A: given: the function f(x)=2x the other function is g(x)=log2x. let the given function f(x)=2x as y.…

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: Construct the graph of the logarithmic function f (x) = log (x-2).

A: Any point on the Cartesian coordinate system is represented as x, y. For a function y=f(x), the…

Q: Find the domain of: f(x)=log7(x-8)

A: Consider the function

Q: Write the equation of the asymptote for this function: f(x) = log2(x - 1).

A:

Q: Sketch the graphs of f(x) = 2x and g(x) = log2 (−x) on the same coordinate axis, and label at least…

A:

Q: Find the domain of the function. g(x) = log3(x2 - 1)

A: Given function - g(x) = log3x2-1For a logarithmic function to be defined, the input to logarithm…

Q: What are the domain and range of f(x)=log x -5

A: f(x) = log(x - 5)   Note : the domain of log(x) is the set of all positive real numbers. And, the…

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

A: g(x) = log3 x + 6 g(x) = log3 (x + 6)         We know the domain of  logaX is real numbers greater…

Q: The graph of g(x) = -log4x is the graph of f(x) = log4x reflected about the______ .

A: Given that graph of f(x)=log4x and g(x)=-log4x.

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: Sketch the graph of f.

A: Given that, fx=3log3x

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

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

Q: Sketch the graph of f.

A: We have the given equation as fx=log2x+4 As we know that, the graph of y=logax; a>0 is drawn as

Q: Sketch the graph of f

A: given,           fx=logax-2

Q: Use the graph of f(x)=log1/2x to graph the function f(x)=log1/2(5-x)

A: Since we have to use the graph of f(x)=log1/2x  So, we graph f(x)=log1/2x first. So, we pick values…

Q: Sketch the graph of f.

A: Given: f(x)=log416x

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

A:

Q: Sketch the graph of f(x) = log2x.

A: The graph of a function can be determined by making a table of points. Then the end behaviour of the…

Q: Sketch the graph of the function by plotting points: g(x)=log4x

A:

Q: Draw the graph of the following logarithmic function, and analyze it completely: f(x) = −2 log3(3 −…

A: To sketch the graph of the function and analyse it completely.

Q: Q4: Find The Range of the Function. logaa(x - 1) < loges(x - 1)

A: We have to do certain manipulations first.