angelicalopexez angelicalopexez
  • 07-10-2020
  • Mathematics
contestada

What is the inverse function of f(x)= x/x-2

Respuesta :

icvejun
icvejun icvejun
  • 07-10-2020
Answer: f^-1(x) = 2x/x-1

Explanation:
Setting y=f(x)

y=x/x-2

This may be rearranged as follows

y(x-2) = x

x•y-2y = x

x•y-x = 2y

x=2y/y-1

The expression shows x in terms of y.

That is it! The inverse function of f(x).

Answer Link
FamoussHailey
FamoussHailey FamoussHailey
  • 22-01-2021

Answer:

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

Step-by-step explanation:

Answer Link

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