F(x)=2x-3
(gof)(x)=4x²-16x+8
ditanya g(x)...?
(gof)(x)=4x²-16x+8
ditanya g(x)...?
Takamori37
Dengan,
![$\begin{align}(g\circ f)(x)&=4x^2-16x+8 \\ g(f(x))&=4x^2-16x+8 \\ g(2x-3)&=4x^2-16x+8 \\ g(2x)&=4(x+3)^2-16(x+3)+8 \\ g(x)&=4\left[\frac{x+3}{2}\right]^2-16\left[\frac{x+3}{2}\right]+8 \\ g(x)&=4\left[\frac{x^2+6x+9}{4}\right]-8(x+3)+8 \\ &=x^2+6x+9-8x-24+8 \\ g(x)&=x^2-2x-7 \end{align}](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D%28g%5Ccirc+f%29%28x%29%26%3D4x%5E2-16x%2B8+%5C%5C+g%28f%28x%29%29%26%3D4x%5E2-16x%2B8+%5C%5C+g%282x-3%29%26%3D4x%5E2-16x%2B8+%5C%5C+g%282x%29%26%3D4%28x%2B3%29%5E2-16%28x%2B3%29%2B8+%5C%5C+g%28x%29%26%3D4%5Cleft%5B%5Cfrac%7Bx%2B3%7D%7B2%7D%5Cright%5D%5E2-16%5Cleft%5B%5Cfrac%7Bx%2B3%7D%7B2%7D%5Cright%5D%2B8+%5C%5C+g%28x%29%26%3D4%5Cleft%5B%5Cfrac%7Bx%5E2%2B6x%2B9%7D%7B4%7D%5Cright%5D-8%28x%2B3%29%2B8+%5C%5C+%26%3Dx%5E2%2B6x%2B9-8x-24%2B8+%5C%5C+g%28x%29%26%3Dx%5E2-2x-7+%5Cend%7Balign%7D "$\begin{align}(g\circ f)(x)&=4x^2-16x+8 \\ g(f(x))&=4x^2-16x+8 \\ g(2x-3)&=4x^2-16x+8 \\ g(2x)&=4(x+3)^2-16(x+3)+8 \\ g(x)&=4\left[\frac{x+3}{2}\right]^2-16\left[\frac{x+3}{2}\right]+8 \\ g(x)&=4\left[\frac{x^2+6x+9}{4}\right]-8(x+3)+8 \\ &=x^2+6x+9-8x-24+8 \\ g(x)&=x^2-2x-7 \end{align}")
2 votes
Thanks 1
annene1
terima kasih :)
Takamori37
Iya, sama-sama.
annene1
jawab pertanyaan aku lagi dong. bisa ga kak. nih webnya http://brainly.co.id/tugas/2212202
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