Respuesta :
Let y = f(x) = 1/x
Then, x = 1/y
If g(x) = [ 4/(x-1) ]
= [ 4/( 1/y - 1) ]
= [ 4/((1 - y)/y) ]
= [ 4y / (1 - y) ]
Therefore, since y = f(x).. so..
g(x) = [4 . f(x) / (1 - f(x)) ]
Then, x = 1/y
If g(x) = [ 4/(x-1) ]
= [ 4/( 1/y - 1) ]
= [ 4/((1 - y)/y) ]
= [ 4y / (1 - y) ]
Therefore, since y = f(x).. so..
g(x) = [4 . f(x) / (1 - f(x)) ]