jika f(x)=x²-3x+2 dan g(x)=2x²+1 tentukan (g°f)
Matematika
wayanerico1
Pertanyaan
jika f(x)=x²-3x+2 dan g(x)=2x²+1 tentukan (g°f)
1 Jawaban
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1. Jawaban jakarta2397
f(x) = x²-3x+2
g(x) = 2x²+1
(gof) (x) = ?
(gof) (x)
= g(fx)
= g(x²-3x+2)
= 2(x²-3x+2)²+1
= 2(x²-3x+2)(x²-3x+2)+1
= 2(x^4+13x²+4-6x³-12x)+1
= 2(x^4-6x³+13x²-12x+4)+1
= 2x^4-12x³+26x²-24x+8+1
= 2x^4-12x³+26x²-24x+9