Asked Jan 14, 2020

Verify that f and f-1 are inverses

f(x) = (ex+1)/(2-ex)

f-1(x)= ln ((2x-1)/(1+x))


Expert Answer

Step 1

Given information:

The given function is f(x) = (ex+1)/(2-ex).

Step 2


First, replace f(x) with y.


Calculus homework question answer, step 2, image 1
Step 3

Now, solve the abov equation...

Calculus homework question answer, step 3, image 1

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in



Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Bertha invests $10,000 for 8 years which results in an account balance of $24,759.63. What was her c...

A: Given Bertha invested $10,000 for 8 years which resulted in an account balance of $24,759.63.


Q: in Exercises 83 and 84, find the domain and range of each composite function. Then graph the composi...

A: Note:We’ll answer the 83rd question since we answer only one question at a time. Please submit a new...


Q: Volcanic lava fountains Although the November 1959 Kilauea Iki eruption on the island of Hawaii bega...

A: Given,


Q: What is the rate of change of the area of a circle (A = pair2 ) with respect to the radius when the ...

A: It is required to calculate the rate of change of area of circle with respect to radius when radius ...


Q: Suppose that ƒ and g are both odd functions defined on the entire real line. Which of the following ...

A: Let  ƒ and g are both odd functions defined on the entire real line. Which of the following  are eve...


Q: If ƒ(x) = x - 1 and g(x) = 1/(x + 1), find the following. a. ƒ(g(1/2))  b. g(ƒ(1/2)) c. ƒ(g(x))     ...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...


Q: Use the given transformation to evaluate the integral ∬R 6x^2 dA where R is the region bounded by th...

A: The given region R is an ellipse, transform the same using x and y as follows


Q: Use implicit differentiation to find dy/dx     y sin(1 /y) = 1 - xy

A: Click to see the answer


Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 ft from the building as sho...

A: We label the end points.