Diketahui : f(x) = 2x+3 g(x) = x²-2x+2 Tentukan = a.fog(x) b.gof(x)

a. (fog)(x)
[tex]f(g(x)) = 2(g(x)) + 3 \\ = 2( {x}^{2} - 2x + 2) + 3 \\ = 2 {x}^{2} - 4x + 4 + 3 \\ = 2 {x}^{2} - 4x + 7[/tex]
b. (gof)(x)
[tex]g(f(x)) = f(x) - 2f(x) + 2 \\ = (2x + 3) - 2(2x + 3) + 2 \\ = 2x + 3 - 4x - 6 + 2 \\ = 2x - 4x + 3 - 6 + 2 \\ = - 2x - 1[/tex]