Please type the steps on how to solve it on a word document, also the work. Determine whether the function has an inverse function.x + 1g(x)Yes, g does have an inverse.No, g does not have an inverse.If it does, then find the inverse function. (If an answer does not exist, enter DNE.)g1(x) =| 6x – 1Need Help?Read It

Given g(x)=(x+1)/6 To find if g(x) has an inverse function or not.

Determine whether the function has an inverse function. x + 1 g(x) = Yes, g does have an inverse. O No, g does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) g-1(x) = | 6x –- 1 Need Help? Read It

Determine whether the function has an inverse function. x + 1 g(x) = Yes, g does have an inverse. O No, g does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) g-1(x) = | 6x –- 1 Need Help? Read It

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.8: one-to-one Functions And Their Inverses

Problem 2E: (a) For a Function to have an inverse, it must be______ So which one of the following functions has...

See similar textbooks

Related questions

Q: f(x) = x2(x – 1)(x + 3) c) What is the domain and range? d) Does f has inverse function e) f(x) =…

Q: A one-to-one function is given. Write an equation for the inverse function. g (x) = 5x- 16 %3D

A: In this question we have to find the inverse of the function.

Q: 12. Solve: 5 x+2 13. Given the function f(x) = -6x + 13, find an equation for the inverse function.

A: We have to solve 12 and 13.

Q: Find the inverse of the given function: F(x)= -2/3 x

Q: A one-to-one function is given. Write an equation for the inverse function. m(x) =4x+2 m 口回

A: Write x in terms of y

Q: A one-to-one function is given. Write an equation for the inverse function. k(x)= cubed root of x+8

A: Let k(x) =y Switch x and y Solve for y In place of y, use k-1(x)

Q: The function f(x)=[(3x)/(8x-1)] is one-to-one. (a) Find its inverse and check your answer.

Q: The function f(x) = 5280x provides the conversion from x miles to feet. a. Write an equation for…

Q: 15. The functions below is one-one. Find the expression of its inverse function. (Use EquatIO to…

A: Given that: f(x)=ex-e-x2

Q: A one-to-one function is given. Write an expression for the inverse function, 0) m(x)= 7x+2 %3D

Q: Q: Find the inverse of the function and verify inverse by computing both of the composition, x 2 2…

A: given function is y=x4-4x+10 we have to…

Q: Investments If x dollars are invested at 10% for6 years, the future value of the investment is given…

A: (a) The given function is Sx=x+0.6x, where x is the number of dollars invested at 10% for 6 years…

Q: ind the inverse of the given function below and sketch the graph of the function and its inverse on…

Q: A one-to-one function is given. Write an equation for the inverse function. n (x) =3x² – 8

Q: 3 b) f(x) = (x+ 5)

Q: 2x +1 x-8· x#8, is one-to-one. The function f(x) = Find an equation for f(x), the inverse function.

Q: The function f(x) = 5280x provides the conversion from x miles to f(x) feet. a. Write an equation…

A: First, replace f(x) with y in f(x)=5280x and then replace x with y and y with x to get x=5280y.…

Q: Help

A: c-1(x) = ?

Q: A one-to-one function is given. Write an expression for the inverse function. 4)f(x) = 치x+1 4)

A: Note that, the given fumction is an one-to-one function.Recall that, “If a function is an one-to-one…

Q: A. FIND THE INVERSE OF EACH FUNCTION. SHOW YOUR SOLUTION. 1. f(x)=4x-6 2. f(x)= x3 + 1 3.…

Q: Tutorial Exercise Find a formula for the inverse of the function. 5x - 1 2x + 6 f(x) =

A: Given function is fx = 5x-12x+6 Let y = f(x), then…

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

Q: Determine whether the function has an inverse function. g(x) = x + 1 Yes, g does have an inverse.…

Q: what are the blanks

Q: (a) find the inverse of the given function, and (b) graph the given function and its inverse on the…

A: Given, fx=25xOry=25x

Q: f(x) = (x + 1)/(x − 2).Solve:(a) find the inverse function of f, (b) graph both f and f −1 on the…

A: To find the inverse function of f(x)=x+1x-2, write f(x) as y. Replace x with y and y with y and…

Q: For Exercise, a one-to-one function is given. Write an equation for the inverse function. f(x) =…

Q: Show steps to solve. 8) Find the inverse of the function f(x) = Vx+2 algebraically. %3D

Q: Find the inverse of the function algebraically. f(x) = 2x + 3 f-(2) = > Next Question

Q: A one-to-one function is given. Write an equation for the inverse function. s(x)= 2/x-3

Q: 9. Does the function f(x)= 2 -9 have an inverse? If so, find it. If it does not, then explain why…

Q: x-1 B) Find the inverse of the function f(x)=",-+5 algebraically. 3

Q: (a) Find the Domain and Range of f(x) = (b) Find the inverse of the given function, f(x) = 4 + V2x

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the inverse of the function. Is the inverse a function? f(x) = (x + 6)? Choose the correct…

Q: 6x- 3 Given: f(x) 3x +1 Find the inverse function, f'(x).

Q: Consider the function f(x)= 2/3(x-1)+ +5. a. What is the equation for the inverse of f(x)? b. Sketch…

A: To find the inverse swap the variables x and y and then solve for y.

Q: 4. A one-to-one function is given. Write an equation for the inverse function. g (x) = 5x- 16

Q: x - 3 2x + 5" 14. Find the inverse function of f(x) %3D

A: Given function is f(x)=x-32x+5

Q: Use the graph to determine which statement describes (x). y = f(x) -5 -5 O A. f(x) does not have an…

A: We have to check

Q: Find the inverse function of f. f(x) = 3x3 + 6

Q: A one-to-one function is given. Write an equation for the inverse function. 3. n (x) = 4x° + 8

A: Inverse of the function

Q: a one to one function is given. write an expression for the inverse function

A: We are given function as

Q: How do I do this? Consider the following function on the given domain. A(x) = (x – 3)² + 1, x > 3…

A: Here given function as Ax=x-32+1, x≥3

Q: Determine whether the function has an inverse function. Зх + 7 f(x) %3D 7x + 2 Yes, f does have an…

Q: Determine whether the function has an inverse function. 5x + 7 f(x) = %3D 7x + 3 Yes, f does have an…

A: Determine whether the function has an invers function f(x)=5x+7/7x+3

Q: what are the blanks

A: From the given information it is needed to calculate the inverse of the given function:

Q: Determine whether the function has an inverse function. Зх + 7 f(x) 7х + 2 Yes, f does have an…

A: To find the inverse of a function

Q: A one-to-one function is given. Write an equation for the inverse function. x-8 v(x) = x+9 = (x) ,_^

Q: A one-to-one function is given. Write an equation for the inverse function. m (x) = 3x -7 (x) %3D

Question

Please type the steps on how to solve it on a word document, also the work.

Determine whether the function has an inverse function.
x + 1
g(x)
Yes, g does have an inverse.
No, g does not have an inverse.
If it does, then find the inverse function. (If an answer does not exist, enter DNE.)
g1(x) =| 6x – 1
Need Help?
Read It

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

(a) For a Function to have an inverse, it must be______ So which one of the following functions has an inverse? f(x)=x2g(x)=x3 (b) what is the inverse of the function that you chose in part(a)?
The number of cubic yards of dirt, D, needed to cover a garden with area a square feet is given by D=g(a) . a. A garden with area 5,000 ft2 requires 50 yd3 of dirt. Express this information in terms of the function g. b. Explain the meaning of the statement g(100)=1 .
Pizza Cost Marcello’s Pizza charges a base price of $16 for a large pizza plus 1.50 for eachadditional topping. (a) Find a function f that models the price of a pizza withn toppings. (b) Find the inverse of the function f . What does f1 represent? (c) If a pizza costs $25, how many toppings does it have?
Pizza Cost Marcellos Pizza charges a base price of 16 for a large pizza plus 1.50 for each additional topping. a Find a function f that models the price of a pizza with n toppings. b Find the inverse of the function f. What does f-1 represent? c If a pizza costs 25, how many topping does it have?
A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a function of time, t, in hours given by dt)=50t . Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function t(d) . Find t(180) and interpret its meaning.
The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of a circle as a function of its circumference. Call this function r(C) , Find r(36) and interpret its meaning,
This equation is all about the inverse of a function in which find the inverse of f(x)=-3x then find its inverse of the g(x) then figure out the figure. (Image shown below)
The function f(x) = 5280x provides the conversion from x miles to f(x) feet. a. Write an equation for f−1 b. What does the inverse function represent in the context of this problem? c. Determine the number of miles represented by 22,176 ft.
Internet Access Using data from 2009 through 2015,the percent of U.S. households with Internet accesscan be modeled by function y = 53.265x0.170, with xequal to the number of years after 2005.a. Find the formula for the inverse of the function f.b. If the inverse is f -1, find f -1 (f (15)).
f(x) = √(4 − x2), 0 ≤ x ≤ 2.Solve:(a) find the inverse function of f, (b) graph both f and f −1 on the same set of coordinate axes, (c) describe the relationship between the graphs of f and f −1, and (d) state the domains and ranges of f and f −1.
y=(1-e^-x)/(1+e^-x) The question says to find the inverse of the function
(a) find the inverse of the given function, and (b) graph the given function and its inverse on the same set of axes. f (x) = x2 + 2, x ≥ 0