f(x)=3x-1 g(x)=x²+4 tentukan g°f, g°g dan f°f

[tex](gog)(x) = { {(x}^{2} + 4) }^{2} + 4 \\ = {x}^{4} + 8 {x}^{2} + 16 + 4 \\ = {x}^{4} + {8x}^{2} + 20[/tex]

[tex]f(x) = 3x - 1 \\ g(x) = {x}^{2} + 4 \\ \\ (gof)(x) = g(f(x)) \\ = {(3x - 1)}^{2} + 4 \\ = {9x}^{2} - 6x + 1 + 4 \\ = {9x}^{2} - 6x + 5 \\ [/tex]
[tex](fof)(x) = 3(3x - 1) - 1 \\ = 9x - 3 - 1 \\ = 9x - 4[/tex]