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

Convert these temperatures to Celsius: a. 303 K d. 45 K
LEED is a government-based program that provides certification that buildings are designed sustainably. •False •True
Find the area and the area of the figure.​
Donald says “If |-7| equals 7, why doesn’t |7| equal -7? Help Donald out and explain this to him. (pls help quick!!)
Answer has exponent please help
Factor 2x^2+x-3 (PLEASE INCLUDE STEP BY STEP) The unit is "Factoring trinomials by grouping" so please use that method
Which of the following is a good example of a set of character foils? O A. A selfish person and a selfless person B. Twin sisters who think and act exactly alik
HELP ASAP!! (NO LINKS) WILL GIVE BRAINLIEST The numbers of inches of rainfall received in eleven cities during April are 10, 12, 18, 12, 14, 19, 20, 9, 15, 17,
A cell phone company surveyed 200 random customers
HELP PLEASE 100 POINTS!!!! Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA