Dik f(x)=x²-2x-8 dan g(x)=x-4. Tentukan (g-f)(x
Matematika
Haerinia
Pertanyaan
Dik f(x)=x²-2x-8 dan g(x)=x-4. Tentukan (g-f)(x
2 Jawaban
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1. Jawaban BSunShine
Materi : Fungsi Komposisi
f(x) = x^2 - 2x - 8
g(x) = x - 4
g o f (x) = g(f(x))
g o f (x) = (x^2 - 2x - 8) - 4
g o f (x) = x^2 - 2x - 8 - 4
g o f (x) = x^2 - 2x - 12 -
2. Jawaban MicoArrafi
[tex]$\begin{align}(g-f)(x)&=g(x)-f(x)\\&=(x-4)-(x^2-2x-8)\\&=-x^2+(x-(-2x))+(-4-(-8))\\&=\boxed{-x^2+2x+4}\end[/tex]