9(x) = %3D be the one-to-one function defined on R by Let g 1+ |x|. Write an equation for the inverse function, g-1, and determine its domain. Explain your reasoning.

Q: Express the perimeter P of a rectangle as a function of the width W if the length of the rectangle…

A: GIVENThe length of the rectangle is twice its width W

Q: fcx)こ2え?

A: Explanation and solutions is given below....

Q: 8. Find the inverse function of 4 f (x) = 3x 1, x <0

A:

Q: -3 What is the y-value for the point of the inverse function? 9,

A:

Q: Explain why every nonconstant linear function has an inverse.

A: Given: A linear function has an inverse.

Q: 8. Find the inverse function of: f(x) =-6 x3 %3D

A: The given function is: f(x)=x38-64 Let, y=f(x)

Q: Find the inverse function of f(x) = 16 + /a. f-'(x) = %3D

A: f-1(x) = (x- 16)3

Q: The concentration of salt x in a homemade soap maker is given as a function of time by

A:

Q: 4. The functions graphed below are inverse functions? True False

A: The objective is to find the correct option.

Q: At what value of x does the function f(x) = 3 x- x change from decreasing to increasing? %3D

A:

Q: can an even function be selv-inverse?an odd function?

A: Can an even function be self-inverse?an odd function?

Q: 2. Explain how we know the function f(x)= 2.x is one-to one. Then find the inverse function f. x- 3

A: We are asked to  find the inverse of the function.

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

Q: 14) Are f(x) = 4x – 7 and g(x) = inverse functions? Prove your answer mathematically an explain.

A:

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: Consider the given function: Here the objective is to check whether the given functions are inverse…

Q: What can you conclude about the inverses of functions whose graphs are lines parallel to the line y…

A:

Q: f(x)- 2.3*- 3

A:

Q: 2. The inverse of one-to-one function f(x) = 4(3"-) is

A: Given : fx = 43x-1

Q: can you explain..  differnate this function with the respect of x  F(x) = (x^8 + 3)ln x^5)

A:

Q: Jan 27, 10:06:00 AM Find the inverse function of the function f(x) = (3x)3 on the domain a > 0. of…

A: We have to find out inverse of function

Q: A farmer wishes to fence the perimeter of a rectangular lot with an area of 1600 square feet. if the…

A:

Q: The aerobic rating of a person x years old is modelled by the function A(x) = 110(In x-2) for x 2…

A: The maxima and minima can be found for the function by differentiation. For the values of maxima the…

Q: Find the domain of the function: f(x) = ln(4 - x)

A: we have to find the domain of the given function. f(x)=ln(4-x)

Q: Find the domain of the function: f(x) = ln(3 - x)

A: The Domain of a function Includes all values of x for which the function is defined. We know that a…

Q: Does the function below have an inverse? Explain.

A:

Q: Can the graph of a function be symmetric to the x- axis ? Explain why or why not. If a function is…

A: The answer is no. The graph of a function cannot be symmetric to x axis. The definition is as…

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: y=ln(2-e5x)

Q: How do I find the inverse function of f(x) = 1/x+4?

A: Given function,  Let y = f(x)

Q: why or (a) Are f(x) = 3x –1 and g(x) = ¿(x – 3) inverse functions? Why %3D not?

A:

Q: Example 3: Find the inverse of y=x+1, expressed as a function of x.

A: For finding the inverse function, we will replace x with y and y with x as follows

Q: 3 5. Determine the inverse equation of the function f(x) = 3(x - 20) + 1

A:

Q: What is the equation of the inverse for this function?

A: we have to find the inverse of the function f(x)=log2(9x)

Q: Find the inverse of f (x) = x +b, where b is constant. How is the graph of f related to the graph f.

A: Inverse of functions return its original value for which a function gave output

Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: a) Explain in words how does the inverse of a function f'(x) relate to the original function f(x).…

A: Inverse of a function is the way of finding the original point of function. If at x=0, f(x)= 2, then…

Q: What is the end behavior of this following function? y

A: The graph given represents a function with even power of x and a negative constant.

Q: Differentiate the function.

A: As=-12s5⇒As=-12·s-5

Q: Consider the function f(x) = i + x². How does this function essentially behave for large positive…

A: The Given Function f(x) contains rational function x/(x2+1) and polynomial function function…

Q: Sketch the graph of the function  f(x) = ln∣x∣ and state its domain.

A: Sketch the graph as shown below:

Q: 1 If f(x) has an inverse function f-¹(x), could either the graph of for the graph of f-¹ be…

A:

Q: 6) Does y = x have an inverse function?

A: Let, the function is

Q: Find the inverse function for f(x)= 2/x-1. Show all work.

A: Let the given function be written as,

Q: Find the inverse of the function on the given domain. f-1 (x) = f(x) = (x - 18)2, [18, ∞)

A: Inverse of function f(x)=(x-18)2 . In the interval [18, infinity) is  f-1(x)= 18+sqrt(x)

Q: Find the inverse function of f(x) = x3 + 2

A: Given function: fx=x3+2 Consider the function y=x3+2 Find the inverse of y=x3+2 y=x3+2x3=y-2x=y-23

Q: How are the graphs of a function and its inverse are closely related?

A: The function f(x) and g(x) are the inverses of each other if it satisfies the identity…

Q: 7. Find the inverse of the function f: f(x) = In (x)² – 4, x2 0, using 4 steps

A:

Q: I am studying for a precalc exam. Could you explain how to find the inverse of a function such as:…

A: Plug g(x)=y , then switch x and y.

Q: f(x) = x² is inverse function on integer number?

A: The inverse is f-1(x) = √x