1 .Jika f(x) = 2x + 3 dan (f o g) = 2x^2 + 6x – 7, maka g(x) =.... 2.Diketahui g(x) = x^2 + 3x + 2 dan (f o g)(x) = 4x^2 + 12x + 13. Tentukan rumus f(x)=.... To

[tex]f(g(x)) = 2 {x}^{2} + 6x - 7 \\ 2g(x) + 3 = 2 {x}^{2} + 6x - 7 \\ 2g(x) = 2 {x}^{2} + 6x - 7 - 3 \\ 2g(x) =2 {x}^{2} + 6x - 10 \\ g(x) = \frac{2{x}^{2} + 6x - 10}{2} \\ g(x) = {x}^{2} + 3x - 5 \\ [/tex]

2(g(x))+3=2x^2+6x-7
 2(g(x))   =2x^2+6x-10
g(x)          =x^2+3x-5

f(x^2+3x+2)=4x^2+12x+3
f(x)             =4(x^2+3x+2)^2+12(x^2+3x+2)+13
                  =4x^4+24x^3+52x^2+48x+16+12x^2+36x+24+13
                f(x) = 4x^4+24x^3+64x^2+84x+53