Diketahui F(x) =x-2 G(x) = - 2x-1 Hitunglah (Fog)¯¹(x)

Langsung aja

f{f`¹(x)} = x
f`¹(x) - 2 = x
f`¹(x) = x+2

g{g`¹(x)} = x
-2g`¹(x) - 1 = x
2g`¹(x) = -1 - x
g`¹(x) = -1 - x / 2

(fog)`¹(x) = g`¹of`¹(x)

= g`¹{f`¹(x)}

= -1 -f`¹(x) / 2

= -1 - (x+2) / 2

= -1 - x - 2 / 2

= -3 - x / 2

= - (3+x) / 2

semoga berguna +_+

f(x) = x - 2
dan 
g(x) = - 2x - 1

maka : 
(fog)(x) = f(g(x))
= f(- 2x - 1)
= (- 2x - 1) - 2
fog(x) = - 2x - 3

kemudian :
cari invers dari (fog)⁻¹(x) = ___?

x = - 2y - 3
2y = - x - 3
y = (- x - 3) / 2

maka : 
(fog)⁻¹(x) = (- x - 3) / 2