Diketahui f(x) =x-1/1+x dan g(x) =2x-3/x-1. Tentukan fog(x).... Pliss tolong jawab sekarang

f(x) = x-1/1+x
g(x) = 2x - 3/x-1

Maka,
f o g (x) = f(g(x)) = f(2x -3/x-1)
[tex]f \: o \: g(x) = \frac{ (\frac{2x - 3}{ x - 1}) - 1}{1 + (\frac{2x - 3}{x - 1}) } \\ f \: o \: g( x) = \frac{ (\frac{2x - 3 - x + 1}{x - 1}) }{( \frac{x - 1 + 2x - 3}{x - 1} )} \\ f \: o \: g(x) = \frac{ (\frac{x - 2}{x - 1} )}{ (\frac{3x - 4}{x - 1} )} [/tex]