Diketahui f(x) = x + 6 dan g (x) =x2+5x-2 tentukan fog (x) dan gof (x)

[tex]fog(x) = f( {x}^{2} + 5x - 2) \\ \: \: \: \: \: \: = ( {x}^{2} + 5x - 2) + 6 \\ \: \: \: \: \: \: = {x}^{2} + 5x + 4 \\ \\ gof(x) = g(x + 6) \\ \: \: \: \: \: \: \: \: \: \: = ( {x + 6)}^{2} + 5(x + 6) - 2 \\ \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 12x + 36 + 5x + 30 - 2 \\ \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 17x + 66[/tex]