2. Use f(x) = log, x to answer the following questions. (a) What is f9)? What point is on the graph of f(x)? (b) If f(x) = -3, what is x? What point is on the graph of f(x)?

Q: functions f and g? f(x)=2x

A:

Q: What is the domain of f(x) = log, (x + 3)?

A:

Q: The graph of the function f(x)=log10(x) is stretched vertically by a factor of 7, shifted to the…

A: The function f(x)=log10(x) is stretched vertically by a factor of 7. So it becomes 7log10(x). Then…

Q: 14. For the logarithmic function (x)=log, (x-4), explain why x=0 is not in its domain.

A:

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

A: Given that the graph of f contains the point (2,2). Thus,  f2=2loga2=2

Q: Find the equation of the vertical asymptote f(x)=log(x+5)

A:

Q: What is the domain of the function g(z) = 3 log, (x – 1) + 4? Enter your answer in the box. All real…

A: Solution-

Q: 2. The function f(x) = log, x is the logarithm function %3D So f(9) = -- f()- with base %3D f(1) =…

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

A: Given

Q: Is f(x) 0 in the range of the functionf (x) = log(x)? If so, for what value of x? Verify the result.…

A: Given function, fx=logx To check fx=0 in the range of the given function, for what value of x.

Q: The graph of the function f(x)=log5(x) is stretched vertically by a factor of 2, shifted to the left…

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

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: Given

Q: Disprove the statement log(x + y) = log x + log y by, a) Letting y equal a positive constant of your…

A: Given  The statement log(x + y) = log x + log y

Q: Find the equation of the vertical asymptote f(x) = log(x + 5)

A:

Q: Evaluate the function at the indicated value of x without using a calculator. Function Value f(x) =…

A:

Q: snip

A: The domain of a function is set of values for which the function is defined. For a logarithmic…

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: 4. The domain of the logarithmic function f(x) = log, x is

A: fx=logax

Q: Find the equation of the vertical asymptote f(x) = log(x + 4)

A: Given,                f(x)= log(x+4)

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: To Discuss: a. Does fx=logarithm x, with base 12 approaches a certain real as xincrease positively?…

Q: 4. f (x) = log2 x and g(x) = vx – 4. What is the domain of f( g(x))and g(f(x))?

A:

Q: 5. Find the derivative of the following Natural Logarithm functions f(x) = In(3x – 4) a. b. 2

A:

Q: 1. What is thex-intercept of the function y= log, (3x+ 4) 2? %3D

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

Q: what point is on the graph of a function f cwith equation f(x)= log, x regardless of the value of b?

A:

Q: Find the domain of the function. h(x) = log3 [ x/ (x - 1) ]

A:

Q: 22. Suppose f(x) = log x + log(x – 3). Find the x-value for which f(x) = 1.

A:

Q: At what value(s) of x does e^(-x2) =x2 - x + 1?

A: To determine the values of x at which,

Q: Find the function of the form y log,(x) whose graph is given.

A: Given that: Graph of f(x)

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: How large does x have to be, so that e^(-x/10)<0.1?

A: We need to find the values of x for which the following inequality holds good.

Q: Given the functions f(x) = log₂ (2x) and g(x) = 2x - 3, which of the following statements is true?…

A: Here, the given functions are f(x)=log2(2x) =ln (2x)ln 2(used change of base)& g(x)=2x-3 Here,…

Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

A:

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x8*.…

A: To find the exact x- coordinate.

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

A:

Q: 5. Find the domain of f(x) = log(x-4)

A: The given function,   f(x)=logx-4

Q: What is the domain of the function f (z) = log, (z - 3) + 4?

A: SOLUTION-

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

A:

Q: 3) For f(x) = log2 x and (x)=√x-4, what is the domain of f(g(x)) and g(f(x))?

A: The function f(x)=logx is defined for x>0 The function f(x)=x is defined for x≥0 Note: If logba=c…

Q: Find for the following function: 3- y = log,(x - x) 4- y = In2

A: It is an important part of statistics . It is widely used .

Q: If r (x) = log(x – 3) and s(x) 2 log x, which function represents (r + s)(x) ? |

A: It is given that, rx=logx-3  and  sx=2logxWe have to find the value of r+sx

Q: Find the domain of the function. h(x) = log3 ( x/(x - 1))

A: Given function: hx= log3xx-1

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.