Tentukan (f o g o g)(x) jika f(x)= x²-2x+1 dan g(x)=2x-1

By Admin ReiPosted on October 29, 2022

Tentukan (f o g o g)(x) jika f(x)= x²-2x+1 dan g(x)=2x-1

Jawab:

$16x^2+16x+4$

Penjelasan dengan langkah-langkah:

$f(x)=x^2-2x+1\g(x)=2x-1\ditanya (fogog)(x)\ (fogog)(x)=f(g(g(x)))\=f(g(2x-1))\=f(2(2x-1)-1)\=f(4x-3)\=(4x+3)^2-2(4x+3)+1\=16x^2+24x+9-8x-6+1\=16x^2+16x+4$