F(x)=2x-3 (gof)(x)=4x²-16x+8 ditanya g(x)...?

F(x)=2x-3
(gof)(x)=4x²-16x+8
ditanya g(x)…?

Jawaban Terkonfirmasi

Dengan,
$$begin{align}(gcirc 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)&=4left[frac{x+3}{2}right]^2-16left[frac{x+3}{2}right]+8 \ g(x)&=4left[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}$