mohon bantuannya untuk menjawab jika : F (x) = 4x+2 garis bawah x-2 9 (x) = x+4 maka Fog -¹ (x) = ? Fog -¹(4) = ?

jawab
f(x)= (4x +2)/(x-2)
g(x)= x + 4

g⁻¹ (x+4) = x
x+ 4 = y
x = y-4
g⁻¹ (y)= y-4
g⁻¹ (x)= (x - 4)

fo g⁻¹ (x)= f { g⁻¹(x)} = f (x- 4)= {4(x-4) + 2} /{(x-4) - 2)}
fog⁻¹ (x)= (4x-16 +2) / (x - 6)
fog⁻¹ (x)= (4x - 14)/(x - 6)

fog⁻¹(4)= ( 16 -14)/(4 - 6) =  2/-2
fog⁻¹(4)= -1