Diketahui F(x)=2x+1 (gof)(x)= 2x²+6x+2 Tentukan g(3)...
Matematika
Zhuul
Pertanyaan
Diketahui F(x)=2x+1
(gof)(x)= 2x²+6x+2
Tentukan g(3)...
(gof)(x)= 2x²+6x+2
Tentukan g(3)...
1 Jawaban
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1. Jawaban dharmawan14
f(x) = 2x + 1 dan gof (x) = 2x^2 +6x +2
g { f(x) } = 2x^2 + 6x +2
g (2x + 1) = 2x^2 + 6x + 2
g (2x +1)= 1/2 (2x +1)^2 +4x +3/2
g (2x + 1) = 1/2(2x +1)^2 +2(2x +1) -1/2
g (x) = 1/2x^2+2x -1/2
g(3) = 1/2(3^2) +2.3 -1/2
= 9/2 +12/2 -1/2
= 20/2
= 10