F(x) = 2x +4 (fog) (x) = 4x² + 8x -3 Tentukan : invers fungsi

Materi : Fungsi Invers
Kelas : XI

f(x) = 2x + 4
fog (x) = 4x² + 8x - 3

fog (x) = 4x² + 8x - 3
2(g(x))+4 = 4x² + 8x - 3
2(g(x)) = 4x² + 8x - 3 - 4
(g(x)) = 4x² + 8x - 7 / 2
(g(x)) = 2x² + 4x - 7/2

g(x) = 2x² + 4x - 7/2
g^-1(x) = y = 2x² + 4x - 7/2
= y + 7/2 - 4x = 2x²
= y + 7/2 - 4x / 2 = x²
= y + 7/4 - x = x²
= √y + 7/4 - x = x
= √x - x + 7/4 = y
= √7/4 = y


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