Diketahui: f(x)=2x+11x-2 g(x)=3x-1 tentukan f(g(x)) dan g(f(x))

[tex]f(x) = 2x^2 + 11x - 2 \\ g(x) = 3x - 1 \\ \\ f(g(x)) = f(3x - 1) \\ = 2(3x - 1)^2 + 11(3x - 1) - 2 \\ = 2(6x^2 - 6x + 1) + 33x - 13 \\ 12x^2 + 21x - 7 \\ \\ g(f(x)) = g(2x^2 + 11x - 2) \\ = 3(2x^2 + 11x - 2) - 1 \\ = 6x^2 + 33x - 7[/tex]

f(g(x)) = f(3x-1) = 2(3x-1)+11(3x-1)-2 = 13(3x-1)-2 = 39x-13-2= 39x-15

g(f(x))=g(13x-2) = 3(13x-2)-1 = 39x-6-1= 39x-7