Jika f(x)=x-3 dan (g○f)(x) = X2-8x+32,maka f-1(x) = A.akar x-16 B.akar x2-16 C.akar x+16 D.akar x+32 E.akar x2+16

Materi: Komposisi dan Invers Fungsi

(gof)(x) = x^2 - 8x + 32
g(x-3) = x^2 - 8x + 32
g(x-3) = (x-3)^2 - 2(x-3) + 17
g(x) = x^2 - 2x + 17
Andaikan g(x) = y
Berarti y = x^2 - 2x + 17
y = (x-1)^2 + 16
akar (y-16) = x - 1
f^-1(x) = 1 + akar (x-16)