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

Q: Find the x intercept of the graph of y = 2 log( √(x - 1) - 2)

A: To determine the x- intercept of the graph of the function.

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

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 f(x) = log4(x - 5).

A:

Q: The graph of y =log(3x) has..

A: Given,          The equation is y=log3x.

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

A:

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

A:

Q: b) f(x) = -log2(2x + 3) – 3

A:

Q: Compare the graphs of f(x)=2x+4 and g(x)=log2(x-4). What line are the two functions reflected over?

A: Topic- function

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

A: Given f(x)=log3x

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: Find the domain of the function. f(x) = log -6

A:

Q: Sketch the graph of f

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

Q: Why the domain of F(x)=log2x2 is all real numbers except 0?

A: Given,          The domain of Fx=log2x2.

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

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

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: What is g′(x) when g(x)=log 2 (6x3 +3)?

A: The given gunction is,

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

A:

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 natural logarithmic function f(x) = In x has the asymptote x =

A: Given: f(x)=lnx To Find: Asymptote of f(x). Concept: Vertical Asymptote: x=c is called vertical…

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

A:

Q: f(x) − log2(1 - 3x)

A:

Q: Explain how to use the graph of f(x) = 2" to obtain the graph of g(x) = log2 x. %3! %3D

A: Given:- The function f(x)=2x The other function is g(x)=log2 x.

Q: Find the domain of the function. f(x) = log5(8 - 2x)

A: Given function is fx=log58-2x. To find the domain of the function. Solution: Domain of a function is…

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: 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) = 5 + log, x is the graph of f(x) = log, x shifted

A: Consider a function y=fx If the function y=fx is shifted upwards by 'a' units, the function becomes…

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: If fx) = r t 1 and g(x) = 8+x logx 1 what is the domain of (fx g)(x)?

A: To find  The domain of (f*g) (x)

Q: Sketch the graph of f.

A: Given that, fx=3log3x

Q: what is the domain of the function Y= logy (9x t 12) - 5?

A: y=log44x+12-5

Q: Given 2 log3(x + y) = 2 + log3x + log3 y, show that x² + y² = 7xy.

A:

Q: Find the domain of f(x) = log 5 (16 – 6x – x²) algebraically.

A:

Q: | What is a zero of f(x) log (2x -3)?

A: Put f(x)=0 and solve for x .

Q: What transformations would map the graph of f (x) = log3 (a) onto the graph of g(x) = log3 (81z³)?

A: Given data fx=log3x gx=log381x3

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

A:

Q: Find the derivate of f(x) = log2(3x – 3x²)

A:

Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

A:

Q: 36. Determine the x-intercept(s) of f(x)log2(3x-4)1

A: Rules:x intercept(s): is (are) the point(s) where the graph crosses the x-axis. In order to find the…

Q: Graph f(x) = (1/4)x and g(x) = log1/4x in the same rectangular coordinate system.

A: Given f(x) = (1/4)x and g(x) = log1/4x

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…