Diketahui (fog) (x) = 4x-6 dan g(x) = x+2/2x-1, tentukan rumus f(x)

fog(x) = f(g(x))
g(x) = x+2 /2x-1
g(x) = a
a = x+2/2x-1
a(2x-1) = x+2
2ax - a = x + 2
2ax-2-a = x
-2-a=x-2ax
-2-a=x(1-2a)
x = -2-a / 1-2a

fog(x) = 4x-6
= 4(-2-a/1-2a)-6
=(-8-4a / 1-2a )-6
jadi f(x) = (-8-4x -6 +12x )/ 1-2x
=(-14+8x) / 1-2x