Diketahui fungsi f(x) = 2x + 3 dan (fog) (x+1) = 2x pangkat 2 - 4x-1. Tentukan lah g1(x) dan g1(-2)

Materi : Fungsi Komposisi

(fog)(x+1) = 2x²-4x-1
f(g(x+1)) = 2x²-4x-1
2(g(x+1)) +3 = 2x²-4x-1
2g(x+1) = 2x²-4x-4
g(x+1) = x²-2x-2

misal x+1 = a ---> x = a-1

g(a)= (a-1)²-2(a-1)-2
g(a)= a²-2a+1-2a+2-2
g(a)= a²-4a +1
g(x)=x²-4x+1

g(-2)= (-2)²-4(-2)+1=13

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