di berikan g(x)=2x-1 dan (fog)(x)=4x²+2x-3
Matematika
andiainunwa
Pertanyaan
di berikan g(x)=2x-1 dan (fog)(x)=4x²+2x-3
1 Jawaban
-
1. Jawaban Anonyme
g(x) = 2x - 1
g^-1 (x) = (x + 1)/2
(fog)(x) = F(x) = 4x² + 2x - 3
f(x)
= F(g^-1 (x))
= 4((x + 1)/2)² + 2(x + 1)/2 - 3
= x² + 2x + 1 + x + 1 - 3
= x² + 3x - 1