Question

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

Answer 1

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