c18ander
c18ander c18ander
  • 22-04-2017
  • Mathematics
contestada

If f(x)=(x-1)/(x+1), evaluate f^-1 ((1/c)+1)

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ghanami
ghanami ghanami
  • 22-04-2017
a-1 = a((1/c)+1) +1hello : 
f(a) = b ....   a= f^-1(b)
in this exercice : b = (1/c)+1
solve equation : 
f(a) = (1/c)+1
(a-1)/(a+1) = (
1/c)+1
a-1 = (a+1)((
1/c)+1)
a - a((
1/c)+1) = 2
a(1-
(1/c)-1) =2
a =( (-1-2c)/c)/2

f^-1 ((1/c)+1) = (-1-2c)/2c
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