tolong di bantu mengerjakan F(x) = x/x+1 g(x) = 2x-1 (fog) ^-1(x) =

Fungsi Komposisi

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

g(x) = 2x - 1
g^-1 (x) = (x + 1)/2

(fog)^-1 (x)
= (g^-1 o f^-1)(x)
= (-x/(x - 1) + 1)/2
= (-x + (x - 1)) / 2(x - 1)
= -1/(2x - 2)
= 1/(2 - 2x)

Fungsi , X

(fog)(x)
= f(g(x))

= 2x-1/(2x-1+1)
= 2x -1 / 2x

y = 2x -1/2x
2xy = 2x - 1
1 = 2x - 2xy
x(2- 2y) = 1
x = 1/(2-2y)

(fog)^-1(x) = 1/(2-2x)