(f•g) (x) =2x²-4x+1 dan g(x)= x²-2x+5 tentukan f(x)
Matematika
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Pertanyaan
(f•g) (x) =2x²-4x+1 dan g(x)= x²-2x+5 tentukan f(x)
1 Jawaban
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1. Jawaban hart08
[tex](fog)(x)=2 x^{2} -4x+1 \\ g(x)=x^2-2x+5 \\ g(x)=t \\ t=x^2-2x+5 \\ x^2-2x=t-5\\ x(x-2)=t-5\\ f(g(x))=2 x^{2} -4x+1 \\ f(t)= 2x(x-2)+1 \\ f(t)=2(t-5)+1\\ f(t)=2t-10+1\\f(t)= 2t-9\\f(x)=2x-9[/tex]