Question

Diketahui f(x) = 1+1/x/1-1/x. nilai f^-1(5)=​

Answer 1

Fungsi Invers

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

atas bawah kalikan x

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

f^-1 ((x + 1)/(x - 1)) = x

f^-1 (5) = x

(x + 1)/(x - 1) = 5

x + 1 = 5(x - 1)

5x - x = 5 + 1

4x = 6

x = 6/4 = 3/2

f^-1 (5) = x = 3/2 ✔