G(x)=2x+1 dan fog (x)=8x²-20x+3 f(x)= ...? mohon di bantu nya

G(x)=2x+1 dan fog (x)=8x²-20x+3 f(x)= …? mohon di bantu nya

Jawaban:

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Gambar Jawaban

Penjelasan dengan langkah-langkah:

$begin{align}(f circ g)(x)&=8 {x}^{2} - 20x + 3 \ f(g(x)) & = 8 {x}^{2} - 20x + 3 \ f(2x + 1) & = 8 {x}^{2} - 20x + 3 \ t = 2x +1 & to frac{t - 1}{2} = x \ f(t) & = 8 {left( frac{t - 1}{2} right)}^{2} - 20 left( frac{t - 1}{2} right) + 3 \ f(t) & = 8 cdot frac{ {t}^{2} - 2t + 1}{4} - 10(t - 1) + 3 \ f(t) & = 2( {t}^{2} - 2t + 1) - 10t + 10 + 3 \ f(t)&=2 {t}^{2} - 4t + 2 - 10t + 13 \ f(t)&= 2 {t}^{2} - 14t + 15 \ f(x)& = 2 {x}^{2} - 14x + 15 end{align}$