Diketahui fungsi f(x) = x^3 dan g(x) = 4x + 2. Nilai x jika (f^-1 ○ g^-1) (x) = 2 adalah..... . bantu aku ya...

Fungsi Komposisi

Ingat
(f^-1 o g^-1)(x) = (gof)^-1(x)

maka
(gof)^-1(x) = 2
ingat jg
jika f(x) = y
maka f^-1(y) = x

mka
(gof)(2) = x
g(f(2)) = x

f(2) = 2³ = 8

g(8)
= 4(8)+2
= 34

x = 34

f (x) = x³
g (x) = 4x + 2


f^-1 (x)
f (x) = x³
    y = x³
 ∛y = x

f^-1 (x) = ∛x


g ^-1 (x)
g (x) = 4x + 2
    y  = 4x + 2
   4x = y - 2
     x = (y - 2)/4

g^-1 (x) = (x - 2)/4


(f^-1 o g^-1) (x)   = 2
⇒ f^-1 (g^-1(x))   = 2
⇒  ∛((x - 2)/4)    = 2
⇒        (x - 2)/4    = 2³
⇒        (x - 2)/4    = 8
⇒            x - 2     = 32
⇒                 x     = 34           



Semoga Membantu!!!