jika f(x)= 2x - 1 dan g(x)= x+4, tentukan [tex]( f^{1} og ^{-1} (x)[/tex]

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

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

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

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

= ( ( x - 4) + 1)/2
= ( x - 3) / 2

atau ½ (x - 3)

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi

Pembahasan :
Fog(x) = f(g(x))
Fog(x) = 2(x + 4) - 1
Fog(x) = 2x + 7
Fog¯¹(x) = (x - 7)/2

Rumus Cepat
F(x) = ax + b
F¯¹(x) = (x - b)/a