diketahui (gof) (x) = 4x² - 8x + 6 dan g(x) = x² - 2x + 3 Tentukan fungsi f(x)

gof = 4x² -8x + 6
g(x) = x² -2x + 3
invers dari g^-1(x) = x-3/x-2

f(x)= ...?

jawab =
gofog^-1 (x) = (4x² - 8x + 6) o g^-1
f(x) = 4(x-3/x-2)² - 8(x-3/x-2) + 6
= 4(x²+9/x²+4) - 8(x-2) + x-3 + 6
= 4(x² + 4) + x² + 9 - 8x + 16 + x - 3 + 6
= 4x² + 16 + x² - 7x + 30
F (x) = 5x² - 7x + 46