AmyMichelle1 AmyMichelle1
  • 22-10-2020
  • Mathematics
contestada

Use compositions to verify that g and g^-1 are in fact inverses.

g(x): 1/x+2
g^-1(x): 1/x - 2

Respuesta :

mikwind mikwind
  • 22-10-2020

Answer:

as written there, they are not inverses

proof by counter example:  since g(1) = 3  , but g^-1(3) = -5/3 != 1

Step-by-step explanation:

g(g^-1(x))  == x    if they are indeed inverses

1/(1/x -2)  + 2  =   x/(1-2x) + 2  != x    so, they are not inverses

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