f(x)=2x+3 dan g(x)=x2+4x+2 tentukan (fog)(x) (gof)(x)
Jawab:
[tex]f(x)=2x+3 \\\\g(x)=x^2+4x+2\\\\(fog)(x) = (2x+3)^2+4(2x+3)+2\\\\= (2x+3)(2x+3)+8x+12+2\\\\=2x.2x+2x.3+3.2x+3.3+8x+12+2\\\\=4x^2+6x+6x+9+8x+14\\\\= 4x^2+20x+23\\\\(gof)(x)=2(x^2+4x+2)+3\\\\=2x^2+8x+ 4 + 3\\\\= 2x^2+8x+7\\\\\boxed{\boxed{Answers\ by\ jemmy}}[/tex]
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