monipj1 monipj1
  • 10-06-2018
  • Mathematics
contestada

Find a formula for the inverse of the function f(x)=(1+e^x)/(1-e^x)

Respuesta :

harpazo
harpazo harpazo
  • 10-06-2018

Let y = f(x)

y = (1 + e^x)/(1 - e^x)

Exchange places with x and y.

x = (1 + e^y)/(1 - e^y)

Now solve for y.

y = log[(x + 1)/(x - 1)]

Replace y with the inverse notation.

f^(-1) x = log[(x + 1)/(x - 1)]

Done!
Answer Link

Otras preguntas

In rhombus ABCD, AB = 13 and AC = 25. Find the area of the rhombus to the nearest tenth.
find the product of 2/3x4/7x14/5
a current of 4A flows in a wire of resistance 60 ohm. calculate electrical energy consumed in 2 min.
a computers CPU and hard drive are found in the
There are 3x-2 trees planted in each row of a rectangular Parcel of land. If there are a total of 24x-16 trees planted and the parcel, how many rows of trees a
what is the difference between binary fission and multiple fission??
What is the range of the function: {(1, 3); (3, 5); (5, 7); (7, 9)}?                                    A. {1, 3, 5, 7}
According to a Gestalt principle called _______, when we're looking at a crowd of people, we tend to perceive people grouped close together as belonging to a c
how do you connect 1 ohm, 2 ohm and 3 ohm resistors to getan equivalent resistance of 5/6 ohm.
why not two magnetic field lines can intersect? why not it is possible?