Fungsi komposisi (g o f )(x)=8x^2+2x+1 dan f(x)=2×+1 maka g(x)?

maaf kalo salah.

good luck
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Dik :
gof(x) = 8x^2 + 2x + 1
f(x) = 2x + 1
Dit : g(x) =..........?

Jwb :
gof(x) = g(f(x))
8x^2 + 2x + 1 = g (2x+1)
Misal :
2x + 1 = K
2x = K - 1
x = K - 1 / 2

g(x) = 8x^2 + 2x + 1
=8 (x-1 / 2)^2 + 2 (x-1 /2) + 1
=8 (x^2-2x+1 / 4) + x-1 + 1
=2(x^2-2x+1) + x-1 + 1
=2x^2 - 4x + 2 + x - 1 + 1
=2x^2 - 3x + 2