diketahui f(x)=2x-1 dan (g°f)(x)=4x^2-10x+5.nilai dari g(-1)=
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diketahui f(x)=2x-1 dan (g°f)(x)=4x^2-10x+5.nilai dari g(-1)=
1 Jawaban
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1. Jawaban whongaliem
f (x) = 2x - 1 ; (gof)(x) = 4x² - 10x + 5
(gof) (x) = g (f(x))
4x² - 10x + 5 = g (2x - 1)
g (x) = 4 (1/2.x + 1/2)² - 10 (1/2.x + 1/2) + 5
g (x) = 4 (1/4.x² + 1/2.x + 1/4) - 10x - 5 + 5
g (x) = x² + 2x + 1 - 10x
g (x) = x² - 8x + 1
g (- 1) = (- 1)² - 8(- 1) + 1
= 1 + 8 + 1
= 10