diketahui F(x)=2x²+2x+1 9 (x) = 3-2x tentukan a.(fog) (x) b.(gof) (2)

[tex]f(x) = 2 {x}^{2} + 2x + 19 \\ g(x) = 3 - 2x \\ \\ (fog)(x) = f(g(x)) \\ = f(3 - 2x) \\ = 2 {(3 - 2x)}^{2} + 2(3 - 2x) + 19 \\ = 2(9 - 12x + 4 {x}^{2} ) + 6 - 4x + 19 \\ = 18 - 24x + 8 {x}^{2} + 25 - 4x \\ = 8 {x}^{2} - 28x + 43 \\ \\ (gof)(x) = g(f(x)) \\ = g( 2 {x}^{2} + 2x + 19) \\ = 3 - 2( 2 {x}^{2} + 2x + 19) \\ = 3 - 4 {x}^{2} - 4x - 38 \\ (gof)(2) = - 4 {x}^{2} - 4x - 35 \\=- 4 .{2}^{2} - 4(2) - 35\\=-16-8-35\\=-59[/tex]