Diketahui f(x)=2x-3 dan g(x)=x²-4 Tentukan (f o g)^-1(x)!

Kelas 10 Matematika
Bab Fungsi Komposisi

(fog) (x) = f(x² - 4)
y = 2 (x² - 4) - 3
y = 2x² - 8 - 3
y = 2x² - 11
2x² = y + 11
x² = (y + 11)/2
x = √((y + 11)/2)
(fog)^-1 (x) = √((x + 11)/2)

fog = 2(x^2-4) -3
= 2x^2 - 11

y = 2x^2 - 11
y + 11 = 2x^2
(y+11)/2 = x^2
{(y+11)/2}^1/2 = x
jadi (fog)^-1 = {(x+11)/2}^1/2